How to find the domain of a composite function

Answers

Answer 1

Answer:

The domain of a composite function f(g(x)) f ( g ( x ) ) is the set of those inputs x in the domain of g for which g(x) is in the domain of f .


Related Questions

Two pencils and one pen cost $0.80, and one pencil and two pens cost $1.15. How many cents would three pencils cost

Answers

Answer:

.33 cents

Step-by-step explanation:


find the value of x

Answers

if both sides are supposed to be equal, then x=59

121/2% in to a fraction ​

Answers

add a picture, i dont understand the question

9514 1404 393

Answer:

  1/8

Step-by-step explanation:

You can replace % with /100 to make it a fraction.

  12 1/2% = (12 1/2)/100 = (25/2)/100 = 25/200 = 1/8

__

Or, you can reduce the decimal fraction.

  12.5% = 12.5/100 = 0.125 = 125/1000 = 1/8

calculate the pay for the following day of a weekly time card given a wage of $16/hr

Answers

Answer:

24x16x7

Step-by-step explanation:

Answer:

$2,688 a week

Step-by-step explanation:

16 x 7 x 24 would be 2,688

Can someone help me Write an equation for this graph?

Answers

Answer:

y = (2/3)x - 1

Step-by-step explanation:

y = mx + b

m = (y₂ - y₁) ÷ (x₂ - x₁)

m = (1 - (-1)) ÷ (3 - 0)

m = 2 ÷ 3

m = 2/3

Insert slope and one of the points. I'm using (0, -1).

Solve for b.

-1 = (2/3)0 + b

-1 = 0 + b

-1 = b

∴ y = (2/3)x - 1

Chase is making a cake for his daughter's birthday. The normal recipe calls for 8 ounces of butter and 16 ounces of sugar. Chase then decides to make a slightly smaller cake and only use 6 ounces of butter. How many ounces of sugar will he need in his smaller cake?

Answers

Answer:

A lot

Step-by-step explanation:

Why am I baking cakes. I SUCK.

There are 12 ounces of sugar will he need in his smaller cake.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The normal recipe calls for 8 ounces of butter and 16 ounces of sugar.

Let the amount of sugar will he need in his smaller cake = x

So, By definition of proportion, we get;

⇒ Amount of Butter / Amount of Sugar

⇒ 8 / 16 = 6 / x

⇒ x = 6 × 16 / 8

⇒ x = 12 ounces

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ2

Evaluate y=3x for x=2.
y=

Answers

Answer:

y=6

Step-by-step explanation:

y=3x     x=2

y=3(2)

y=6

For the given expression, the value of y is 6.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ y = 3x

Now, For value of x = 2;

The value of y is,

⇒ y = 3x

Substitute x = 2;

⇒ y = 3 × 2

⇒ y = 6

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

A market research firm studied the waiting time to order drinks during breakfast time at drive-thru in two coffee shop chains. For a sample of 30 locations of chain A, the sample standard deviation of waiting time was 21.2 seconds, and for a sample of 28 locations of chain B, the sample standard deviation was 31.4 seconds. Do these data suggest that the waiting time is more consistent in chain A

Answers

Answer:

Yes

Step-by-step explanation:

Given that :

CHAIN A:

Sample size n1 = 30

Sample standard deviation of waiting time s1 = 21.2

CHAIN B:

Sample size, n2 = 28

Sample standard deviation of waiting time s2 = 31.4

Null hypothesis H0: s1 = s2

Alternative hypothesis H1: s1 < s2

Test statistic ; Ftest : s1² / s2²

Ftest = 21.2^2 / 31.4^2

= 0.4558399

P value from F statistic : = 0.02 (using p value calculator)

Since the pval < 0.05

Then we reject the Null ; Chain A waiting time is more consistent

What is 83% as a decimal SHOW WORK IF U CAN HELP ASAP!!

Answers

0.83Answer:

Step-by-step explanation:

83% means 83 per 100 or 83/100 if you divide 83 by 100 you get 0.83

Answer:

.83

Step-by-step explanation:

to turn a percentage into a number you have to divide by 100, meaning you need to move the decimal point to the left 2 times so you get:

.83

hope this helps!!

Which equation represents the function shown on the graph? y = x y = x y = 2x y = 4x

Answers

The correct answer is y=4x because the slope of the graph (rise over run aka y/x) is 4/1 or 4

Answer:

The correct answer is y=4x

Step-by-step explanation:

Could someone answer and explain. Will mark the brainliest

Answers

Answer: I think you’re right??

Step-by-step explanation:

10g of Copper reacts with 5g of Sulfur

Write the ratio of Copper to Sulphur

Answers

I think it is 2:1 because If you simply them down

Gordon types 3,572 words in 47 minutes. Find the unit rate.

Answers

Answer:

Gordon types at 76 wpm

Step-by-step explanation:

You can find this by dividing the number of words typed by the number of minutes:

[tex]\frac{3572w}{47m}\\\\= \frac{3572}{47}\frac{w}{m}\\\\= 76\frac{w}{m}\\\\[/tex]

Answer:

78 Words per minute

Step-by-step explanation:

Unit Rate = 3666 Words in 47 minutes

Unit Rate = 78 Words per minute

Paul is a newspaper boy who received a total piecework
paycheck of $265.72. He receives 73 cents for every
newspaper he delivers. How many newspapers did he
deliver?

Answers

Answer:

364

Step-by-step explanation:

265.72 ÷ 0.73 is 364

Check:

364 x 0.73

265.72

Use the quadratic formula to find the solutions for
y = 3x^3 + 8x - 1

Answers

Answer:

Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]

Step-by-step explanation:

We need to use the quadratic formula to find the solutions for

[tex]y = 3x^2 + 8x - 1[/tex]

(Note: quadratic formula is used when x^2 is in the equation. So considering 3x^2 instead of 3x^3)

The quadratic formula is: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

From the given equation [tex]y = 3x^3 + 8x - 1[/tex] we have a =3, b=8 and c =-1

Putting values in the formula and finding solutions:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(3)(-1)}}{2(3)}\\x=\frac{-8\pm\sqrt{64+12}}{6}\\x=\frac{-8\pm\sqrt{76}}{6}\\x=\frac{-8\pm8.71}{6}\\x=\frac{-8+8.71}{6}\:or\:x=\frac{-8-8.71}{6}\\x=0.119\:or\:x=-2.785[/tex]

So, Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]

A ccompany offers free shipping on orders that weigh less than 3,000 grams. How much is this in kilograms. Be sure to include the correct unit in your answer.

Answers

Answer:

The answer is 5 Kilos.

Step-by-step explanation:

There are 1000 grams in 1 Kilo, thus 1000g= 1k, so 5000g=5k.

Answer:

its 3kg

Step-by-step explanation:

The sum of three consecutive even integers is 486. find all three integers​

Answers

160 and 162 and 164

Step-by-step explanation:

To find the three even integers, use the equation

x + (x + 2) + (x + 4) = 486

Then solve:

Add the common terms (the xs and numbers)

3x + 6 = 486

Subtract the 6 from both sides

3x = 480

Then divide

x = 160

So 160 + (160 + 2) + (160 + 4) = 486

160 + 162 + 164 = 486

So your three consecutive even integers are

Find the product of (1)(3)(x).
Your
answer

Answers

Answer:

2/5.

Step-by-step explanation:Start with fractions for which you need to find the product. In this example, we will multiply the fractions 4/6 and 3/5.

Simplify the fractions to the lowest terms. A fraction needs to be simplified if the same number can divide both the numerator and denominator of a fraction. So 4/6 would become 2/3 and you would multiply by 3/5.

Multiply the numerators. Multiply the top number in one fraction by the top number in the other fraction. In this case 2 x 3 = 6.

Multiply the denominators. Multiply the bottom number of one fraction by the bottom number in the other fraction. In this case 3 x 5 = 15

Simplify the product again if necessary. Your product of 6/15 can be converted into 2/5 by dividing both the numerator and denominator by 3. So the product of 4/6 and 3/5

Find the two solutions to the equation below.
(x – 3)(x − 2) = 0
Anyone know how to do it

Answers

Answer:

You have two brackets..divide them as

x-3=0 and x-2=0

so x=3, x=2

The solutions to the equation ( x – 3 )( x − 2 ) = 0 using factors equal to zero are x = 3 and x = 2.

To find the solutions to the equation ( x – 3 )( x − 2 ) = 0, we set each factor equal to zero and solve for x. This is because the product of two factors is equal to zero only if at least one of the factors is zero.

Setting ( x – 3 ) = 0:

x – 3 = 0

x = 3

Setting ( x − 2 ) = 0:

x − 2 = 0

x = 2

Therefore, the solutions to the equation ( x – 3 )( x − 2 ) = 0 are x = 3 and x = 2.

To know more about equation click here :

https://brainly.com/question/28741857

#SPJ2

11. A man is buying a lot which measures 7,860 square meters. How many
hectares of land is he buying?
A. 78,600 hectares
B. 0.7860 hectare
C. 786,000 hectare
D. 0.07860 hectare​

Answers

Answer:

C. 786,000 hectare

Step-by-step explanation:

This question can be solved by proportions, using conversion of units.

Each hectare has 10 000 square meters.

So 7,860 square meters is equal to:

7,860*10000 =  786,000 hectares

The answer is given by option C.

Your test in math class has problems worth 2 points and problems worth 4 points. Altogether the test has 100 points. Write an equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems.

Answers

Answer:

100 = 2x + 4y

Step-by-step explanation:

what is the equation in slope-intercept form, of the line prependicular to y= -3/5x +6 that passes through the point with coordinants (12,25)

Answers

Answer:

y=5/3x+5

Step-by-step explanation:

change slope in equation given to the negative reciprocal since the line is perpendicular:

-3/5 to 5/3

put values into point slope form y-y1=m(x-x1)

     y1 = y in the point given, which is 25

     m = slope, which is 5/3

     x1 = x in point given, which is 12

y-25=5/3(x-12)

then solve for slope intercept form y=mx+b to get

y=5/3x+5

Convert 6 months to​ years

Answers

Answer: 0.500001

Step-by-step explanation: Hope that helps!

What is the right answer for the ordered pairs?

Answers

Answer:

D. (2, -3) and E. (4,-1)

Step-by-step explanation:

In quadrant IV, the possible x-coordinate that can be gotten can only be positive, while the possible y-coordinate can only be a negative value. Thus, the coordinate pair we can get is a positive x-coory and a negative y-coordinate (x, -y).

Therefore, from the list of options given, the two ordered pairs that belong in Quadrant IV are D. (2, -3) and E. (4,-1)

ACTIVITY 1
Directions: Find the unknown principal P, rate r, time t, and simple
interest Is by completing the table. Use separate sheet/s of paper for your
answer.
Principal (P)
Rate (T)
Time (t)
8%
15
2%
5
Simple Interest
(Is)
(1)
10,000
3,600
175,500
10,000
(2)
360,000
500,000
2
(3)
10.5%
Activity 2
Directions: Find the unknown principal P, maturity value, and
compound interest Ic by completing the table. Use separate sheet/s of paper
for your answer.
Maturity Value
Principal (P) Rate(r) Time(t)
Compound
Interest (Ic)
(1)
10,000
(3)
8%
2%
15
5
(2)
50,000​

Answers

Answer:

500,000

2

(3)

10.5%

Activity 2

Directions: Find the unknown principal P, maturity

(03.02)
Which of the following is a factor of 48x2 − 26x + 3? (1 point)

Select one:
a. 8x − 3
b. 12x − 1
c. 4x − 3
d. None of the above

Answers

Answer:

A

Step-by-step explanation:

48x^2-8x-18x=3

8x(6x-1)-3(6x-1)

(8x-3)(6x-1)

8x-3

Answer:

Step-by-step explanation:

48x2 - 26x + 3

48x2 - 18x - 8x + 3

6x( 8x - 3) - 1(8x - 3)

(8x - 3) and (6x - 1) are the factors

Option A is the correct answer

What is the result when 6x3 + 11x2 + 9x + 2 is divided by 3x + 1?

Answers

Answer:

(6x^(3)+11x^(2)-19x+5)-:-(3x-2)

Step-by-step explanation:[tex]63+112+32+1[/tex]

for some reason it showed that but yeah hope this helps!

Please answer quickly Thank You

Answers

Answer:

A. $ 46

B. 12 people.

Step-by-step explanation:

From the question given above, we obtained the following:

C(x) = 6.5x + 20

Where:

C => total cost of bowling

x => number of people

A. Determination of the of bowling for 4 people.

Number of people (x) = 4

Total cost (C) of bowling =?

C(x) = 6.5x + 20

C(4) = 6.5(4) + 20

C(4) = 26 + 20

C(4) = $ 46

Thus, it will cost $ 46 for 4 people to bowl

B. Determination of the number of people that can bowl for $ 98.

Total cost (C) of bowling = $ 98

Number of people (x) =?

C(x) = 6.5x + 20

98 = 6.5x + 20

Collect like terms

98 – 20 = 6.5x

78 = 6.5x

Divide both side by 6.5

x = 78 / 6.5

x = 12

Thus, 12 people can bowl for $ 98.

28800000, 1440000, 72000, 3600, 180, ...

Answers

Answer: I'm confused. What are you asking here?

Step-by-step explanation:

John estimates that there is 150 people at the party. After counting, there are actually 148 people at the party
Find the percent error.
round your answer to the nearest hundredth ​

Answers

The error was 1.33333333 percent
Other Questions
Two trains, Train A and Train B, weigh a total of 381 tons. Train A is heavier than Train B.The difference of their weights is 193 tons. What is the weight of each train? I need this answer quick! REVIEW: A noun phrase is a group of two or more words headed by a noun that includes modifiers. For example, articles (a, an, the), adjectives (description words), and prepositional phrases that act as description (of them, with her, on the corner, by the desk, etc.)DIRECTIONS: CHOOSE THE CORRECT NOUN PHRASE IN EACH SENTENCE.SENTENCE: I don't know my mother's favorite flower. amy mother's bI don't know cmy mother's favorite flower ddon't know my mother's what will you do if you find out that your house is located near an active fault? a) Calculate the PV of a perpetuity with a cash flow of $111,111 received every year. The first cash flow occurs in year 1. The interest rate is 11% simple annual rate. b) Calculate the PV of a perpetuity with a cash flow of $222,222 received every second year. The first cash flow occurs in year 2. The interest rate is 11% simple annual rate. c) Calculate the PV of a perpetuity with a cash flow of $333,333 received every third year. The first cash flow occurs in year 3. The interest rate is 11% simple annual rate. If I put down an apple next to a banana will it ripen faster? What Saint does Gabriel think he talks to? Kevin's boat was wrecked by hurricane Harvey (a federally declared natural disaster). Damage to the boat was estimated at $30,000. The original cost was $25,000. The boat was partially insured, and Kevin received an insurance reimbursement of $15,000. Kevin's adjusted gross income is $50,000, and he had no other losses during the year. What amount can Keith deduct on his tax return for this year What are some "topics" to be considered when discussing the California CurrentEcosystem 10. Find the rate of change in the table below.Show all work.18202224y4.555.56 Imagine being barefoot outside on a hot summer's day in a sunny place ,wouldyou rather be standing on concrete or grass? Why? The attempt by Radical Republicans to remove President Andrew Johnson from office failed when __________.a.African Americans in Congress announced they would not participate in the processb.Robert E. Lee publicly supported Johnsonc.he announced that he would not seek re-electiond.the Senate failed by one vote to convict him If the data below were represented by a comparative bar chart, the barrepresenting which of these would be the tallest?A. Left-handed girlsB. Right-handed boysC. Right-handed girlsD. Left-handed boys if you were a manager how can you help your company maintain its its competitive edge? essay Determine which choice best shows the distributive property of multiplication.Question 2 options:1 6 = 66 9 = 9 66 (9 + 8) = (6 9) + (6 8)6 (9 8) = (6 9) 8 Help with number 3 !!! Flora's car is 59/100 of a meter longer than Sally's car. Sally's car is 2/10 of a meter longer than Trevor's car. How much longer is Flora's car than Trevor's car? Use a complete sentence to explain your reasoning You brought a magazine for $3 and some candy bars for $2 each. You spent a total of $19. How many candy bars did you buy? Please helpPredict how the inability of a species to adapt within a changing environment may contribute to the extinction of that species. Question-1Describe how the poverty line is estimated in India. In "President Cleveland, Where Are You?," what does Jerry do when he finds a Grover Cleveland card?He asks the storeowner if he needs two Grover Clevelands to complete the set.He sells the card and gives the money to Armand so he can go to the dance.He trades in his complete set of president cards for a new baseball glove.He rides his bike to the North Side to trade it for a Warren G. Harding card.