Let
f
and
g
be defined by
f
:
x

3
x

1
)

a
n
d
\(
g
:
x

2

5
x
. Find
f
o
g
(
2
)

Answers

Answer 1

Answer:

Solution

verified

Verified by Toppr

f,g:R→R is defined as

f(x)=x+1

g(x)=2x−3

Now, (f+g)(x)=f(x)+g(x)=(x+1)+(2x−3)=3x−2

∴(f+g)(x)=3x−2

Now, (f−g)(x)=f(x)−g(x)=(x+1)−(2x−3)=x+1−2x+3=−x+4

∴(f−g)(x)=−x+4

(

g

f

)(x)=

g(x)

f(x)

,g(x)

=0,x∈R

∴(

g

f

)(x)=

2x−3

x+1

,2x−3

=0 or 2x

=3

∴(

g

f

)(x)=

2x−3

x+1

,x

=

2

3


Related Questions

Help pls


A hot-air balloon is 1550 feet off the ground and its altitude is slowly changing at a constant rate of −7 1/2 feet per second.

How many seconds, s, will it take for the balloon to drop to below 465 feet?

Drag and drop a symbol and value to correctly complete the solution to this inequality.

Answers

Answer:

s> 144 2/3

Step-by-step explanation:

I took the test in k12 and i got it right so yea !

Answer: the other person was right

Step-by-step explanation:

Which of the following is the greatest common factor of 48 and 32?

Answers

Answer:

8

Step-by-step explanation:

cus...

in the Sahara desert one day it was 136°F in the gobi desert a temperature of -50°F was recorded what is the difference between these two temperatures​

Answers

Answer:

  186 °F

Step-by-step explanation:

The difference is found by subtracting the smaller from the larger:

  136 -(-50) = 136 +50 = 186

The difference between the two temperatures is 186 °F.

Two integers are relatively prime if, and only if, their greatest common divisor is 1. For example, 2 and 3 are relatively prime, 1 and 1 are relatively prime, but 2 and 2 are not. You toss two dice, one blue and one gray. What is the probability that when the dice stop rolling that the pip count on the blue die is relatively prime to the pip count on the gray die and the gray die is showing six pips

Answers

Answer:

A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)

Step-by-step explanation:

A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)

pocket folders are $0.39 each at the store. If Carolyn paid $7.02, how many did she buy?

Answers

Answer:

18 pocket folders

Step-by-step explanation:

divide 7.02 by .39

2.(04.05)
Kelsey painted 1/4
of her bedroom in 3/7
of an hour. At this rate, how long would it take her to paint the entire room?
A.3/28 of a hour
B.28/3 of an hour
C.12/7 of an hour
D.7/17 of an hour

Answers

Answer:

1/4 in 3/7th of an hour

1/4 = 3/7

multiply by 4

1 (whole room) = 12/7 (of an hour)

Answer:

12/7 of an hour

Step-by-step explanation:

I couldnt do the asnwer earlier but here it is the person above gave the answer worked out

George read 72% of a book. If he reads 270 pages how many pages are there in the book?

Answers

Answer:

375 pages

Step-by-step explanation:

270 = 72%

=> 270/72 = 72/72

=> 3.75 = 1%

=> Number of Book pages = 375

Hoped this helped.

Question: Assume you have a balance of $1000 on a credit card with an APR of 12%, or 1% per month. You start making monthly payments
of $200, but at the same time you charge an additional $100 per month to the credit card. Assume that interest for a given month is based on
the balance for the previous month. The following table shows how you can calculate your monthly balance. Complete and extend the table to
show the balance at the end of each month until the debt is paid off. How long does it take to pay off the credit carddebt?
nts
Fill out the table row by row and continue until the last full payment. Round to the nearest cent as needed.
Month
Payment
Expenses
Interest
New Balance
a
urces
0
---
$1000
es
1
$200
$100
$10
$910
4/7
fing
2
$200
$100
ection
3
$200
$100
4
$200
$100

Answers

1. The extension of the table to show the month-end balances until full debt settlement is as follows:

Month  Payment  Expenses  Interest   New Balance

0                  $0          $0            $0        $1,000

1              $200         $100       $10        $910 ($1,000 - $200 + $100 +$10)

2             $200         $100      $9.10     $819.10 ($910 - $200 + $100 + $9.10)

3             $200         $100      $8.19     $727.29 ($819.10-$200+$100+$8.19)

4             $200         $100      $7.27    $634.56 ($727.29-$200+$100+$7.27)

5             $200         $100      $6.35    $540.91 ($634.56-$200+$100+$6.35)

6             $200         $100      $5.41     $446.32 ($540.91-$200+$100+$5.41)

7             $200         $100      $4.46    $350.78 ($446.32-$200+$100+$4.46)

8            $200         $100       $3.51    $254.29 ($350.78-$200+$100+$3.51)

9            $200        $100        $2.54   $156.83 ($254.29-$200+$100+$2.54)

10          $200         $100        $1.57    $58.40 ($156.83-$200+$100+$1.57)

11           $200         $100        $0.58   ($41.02) ($58.40-$200+$100+$0.58)

Data and Calculations:

Credit card balance = $1,000

APR = 12%

Monthly APR = 1%

Monthly payments = $200

Monthly charge = $100

Learn more: https://brainly.com/question/24317087

the domain and range in this graph will be:

a. Domain : all real nums, Range : all real nums

b. Domain : - 4 Range: 2

c. domain: 2 range : 5​

Answers

Answer:

a.

Step-by-step explanation:

this is a line going from -infinity to +infinity in x and in y direction.

for b or c to be right the function would have to be a single point, as nothing else is valid as value.

determine the slope and y intercept and write the equation in slope intercept form

Answers

Answer: slope is 2 and the y-intercept is 1  intercept form is y=2x+1

Step-by-step explanation:

Maya is helping a gardener plant 300 bulbs. They plant 20% of the bulbs on Monday and 30% of the bulbs on Tuesday. Maya says this means they have planted 50 bulbs so far. Label and shade the model. Then use your model to explain why Maya's statement is not reasonable.

Answers

Answer:

because the total is 300 not 100 so 50 is not reasonable because that is the percentage they planted and since it is more than 100 then it should be a percent of 300 not 100. Maya is wrong about placing 50 bulbs instead they placed 150.

Step-by-step explanation:

One x-intercept for a parabola is at the point (-0.4,0). Use the quadratic formula to find the other x-intercept for the parabola defined by this equation: y = 5x2 + 7x + 2 Separate the values with a comma. Round, if necessary, to the nearest hundredth.

Answers

Answer:

-1

Step-by-step explanation:

Set y=0.

[tex]5 {x}^{2} + 7x + 2 = 0 \\ x = \frac{ - 7± \sqrt{ {7}^{2} - 4(5)(2)} }{2(5)} \\ x = \frac{ - 7± \sqrt{ 9} }{10} \\ x = \frac{ - 7±3}{10} \\ x = - \frac{2}{5} \: \: \: \: or \: \: \: \: - 1[/tex]

The x-intercepts are - 0.4 and - 1.

The other x-intercept is - 1.

Answer: 1,0

Step-by-step explanation:

Solve the inequalities from parts A and D for the variables b and n, respectively.



Part A:2b<56
Part D:n<56

Answers

Answer:

Part A: b < 28

Part D: n < 56

Step-by-step explanation:

part A: divide each term in  and simplify.

Inequality Form: b < 28

part d: this is already solved but can be shown in multiple forms.

Inequality Form: n < 56

Interval Notation: ( -∞ , 56)

please help.. no links​

Answers

Answer:

The first answer

Step-by-step explanation:

QUICK! I NEED HELP ASAP
---------------------
w−(−1/3)=2.05

Enter your answer as a mixed number in simplest form in the box.

w =

Answers

Answer:

w=6

Step-by-step explanation:  you should just look it up on line

Answer:

The correct answer is 1 43/60

Step-by-step explanation:

you convert 2.05 to a fraction and get 2 23/60 - (-1/3)  = 1 43/60

i also took the test

What is one website you can visit in order to request free credit report from any of the three bureaus?

Answers

Answer: annualcreditreport.com

Step-by-step explanation: The only authorized website for free credit reports, or call 1-877-322-8228

A. What is the formula for exponential growth?
B. What does each variable mean?


Please someone help!!! It’s for my final pleaseee!!!

Answers

Answer:

A. exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r. ... r is the percent growth or decay rate, written as a decimal, b is the growth factor or growth multiplier.

There are 550 calories in 100 g of bacon. There are 196 calories in a fried egg. Philip has 60 g of bacon and two fried eggs for breakfast. Work out the total number of calories in this breakfast.​

Answers

Answer:

509.6 calories

Step-by-step explanation:

196+196=392 calories

10g of bacon=19.6 calories

60g of bacon=19.6×6=117.6 calories

392+117.6=509.6 calories


Find the value of x and y.
(In picture)

Answers

Answer:

x is 4, and y is 3

Step-by-step explanation:

Solve
-4(-2)

A. -8

B. -6

C. -2

D. 8

Answers

Answer:

D

..............................

A jogger ran 13.5 miles in 3 hours.

What is the unit rate?

Answers

Answer:

Unit rate = 4.5 mph.

Step-by-step explanation:

Unit rate: 13.5/3

=> Unit rate: 4.5 mph.

Hoped this helped.

-
What are the odds of winning a game, if the probability of winning the game is 4/10

Answers

Answer:

40%

Step-by-step explanation:

4/10 = 40/100

40/100 as a percentage is 40%

solve the inequality x-3 < 3x -7​

Answers

Answer:

x > 2 or 2 < x

Step-by-step explanation:

x-3 < 3x-7

-3 < 2x-7

4 < 2x

2 < x

x > 2

Please take a look at the picture

Answers

Answer:B

Step-by-step explanation:

A: cannot be because it’s the same but the -m is not equal .

B: is the same as ,and B: because 2 (minus number) = right number .

C:Is nOne oF the AboVe

Sorry if explanation is not clear but yes it’s is 99% B ;)

But I do think it is wrong…

Hope you have a. Great day!

:)

Please answer and explain

Answers

Answer:

Step-by-step explanation:

(fog)(x) = f[g(x)]

(fog)(x) = f[(4/x - 5)]

(fog)(x) = 1 / ((4/x - 5) - 9)

(fog)(x) = 1 / (4/x - 14)

(gof)(x) = g[f(x)]

(gof)(x) = g[1/(x - 9)]

(gof)(x) = (4/ 1/(x - 9)) - 5

(gof)(x) = (4•(x - 9)/1) - 5

(gof)(x) = (4x - 36) - 5

(gof)(x) = 4x - 41

Which of the diagrams shows an exponential graph?

Answers

Answer:

Diagram "C"

Step-by-step explanation:

The curve eventually shows that it is an exponentially graph

Find the equation for the linear function based upon this table. y = mx + b


y -6 -2 2 6 10
x -4 -2 0 2 4

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

for each rise of 4 in y

there is a run of 2 in x

m = rise/run

m = 4/2

m = 2

when x = 0, y = 2

therefor the y-intercept, b = 2

y = mx + b

y = 2x + 2

Round 61.373737842 to the nearest ten-millionth ​

Answers

Answer:

61.3737378

Step-by-step explanation:

First find the ten millionth digit, and the digit after it.

The digit "8", the seventh digit to the right of the decimal point is the ten millionth digit.

As the digit after "8" is 4, which is less than 5, so simply round the digit "4" down.

Thus the answer is 61.3737378

Choose all options that apply.

Answers

Hey there!

Guide ⬇️

• Cup: is a cooking measurement for volume, it very much common in sizes & cooking things.

• Tablespoon: a abundant (huge) sized spoon that’s used for serving.

• Liter: is the limitation of volume that is held which is balanced (equal to) to ONE cubic decimeter.

• Fluid ounce: is basically unit space that is held at 1/16th of a US pint.

Based on that information the one that seems closer to the RIGHT answer is:

[Option A. Cup]

[Option B Tablespoon]

[Option D. Fluid Ounce]

Random fact:

• [1 (US) CUP] is approximately [8 (US) OUNCE]

• [1 (US) TABLESPOON] is approximately [1/2 (or 0.5)(US) US OUNCE)

• [1 FLUID OUNCE] is approximately [28.35 GRAM]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

9514 1404 393

Answer:

  a. cup

  b. tablespoon

  d. fluid ounce

Step-by-step explanation:

The liter is a metric unit of measurement of volume. US Customary units are not metric units. Rather, volume in the US is measured in ...

  teaspoons

  tablespoons (= 3 teaspoons)

  fluid ounces (= 2 tablespoons)

  cups (= 8 fluid ounces)

  pints (= 2 cups)

  quarts (= 2 pints)

  gallons (= 4 quarts, = 231 cubic inches)

  (oil) barrels (= 42 gallons)

and the measurements based on length:

  cubic inch

  cubic foot (= 1728 cubic inches)

  cubic yard (= 27 cubic feet)

  acre-foot (= 43560 cubic feet)

__

Above are the fluid measurements. In the US system, there are also dry measures that include ...

  gallon (= 268.8025 cubic inches--different from fluid gallon)

  peck (= 2 gallons)

  bushel (= 4 pecks)

18)Angel A and angle b are vertical angles so they are congruent angles. If angle A is (4x+5)° and angle B (-2(x-17.5))° Find the measure of angle B​

Answers

Answer:

Measure of Angle B = 25°

Step-by-step explanation:

Something to keep in mind: Angle A and B are Vertical Angles so they will always be equal

so;

Angle A = Angle B

(4x + 5) = (-2(x - 17.5))

4x + 5 = -2x + 35   (<= Solved by distributive property)

6x + 5 = 35

6x = 30

x = 5

Now we can find the measure of Angle B, by substituting x by 5 in the B equation;

-2 (x - 17.5) = Angle B

-2 (5 - 17.5) = Angle

-2 (-12.5) = Angel B

25 = Angle B

so measure of angle B = 25

Hope this helps!

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