determine the inverse of the function. (show work please)

Determine The Inverse Of The Function. (show Work Please)

Answers

Answer 1

Answer:

This is easy -- it's just a list of steps.  At this level, the problems are pretty simple.

Let's just do one, then I'll write out the list of steps for you.

Find the inverse of f( x ) = -( 1 / 3 )x + 1

STEP 1:  Stick a "y" in for the "f(x)" guy:

y = -( 1 / 3 )x + 1

STEP 2:  Switch the x and y

                   ( because every (x, y) has a (y, x) partner! ):

x = -( 1 / 3 )y + 1

STEP 3:  Solve for y:

x = -( 1 / 3 )y + 1 ... multiply by 3 to ditch the fraction ... 3x = -y + 3 ... ditch the +3 ... subtract 3 from both sides ... 3x - 3 = -y ... multiply by -1 ... -3x + 3 = y ... y = -3x + 3

STEP 4:  Stick in the inverse notation, f^( -1 )( x )

f^( -1 )( x ) = -3x + 3

Step-by-step explanation:


Related Questions

You can buy 3 apples at the Quick Market for $1.35. You can buy 5 of the same apples at Stop and Save for
$1.00. Which place is the better buy?

Answers

Answer:

stop and save

Step-by-step explanation:

The reason for this is because if you can buy 5 apples for 1 dollar so that is 20 cents each but the other one is 45 cents for 1 apple at quick market

Answer:

stop and save because you can get two additional apples paying only 95 cents

Step-by-step explanation:

3x1.35= 4.05

5x1=5

Bess took several excellent pictures of Mount St. Helens' eruptions. She decided to sell her enlarged pictures at different prices from $3 to $5.
If she sold 50 pictures, which of these is a reasonable estimate of the money she could make?
O A $90 to $150
O B. $150 to $250
OC. $120 to $200
OD. $160 to $300
OE. $300 to $500

Answers

B is the best estimate
The answer is B i presume.

Math question down below

Answers

The answer is d
Thai is because he is an outlier at 4,1 and that is explains that he eats more vegetables
d because he’s far out, so he at more vegetables

Evaluate functions
х
h(x) = 17+
6
h(-18) =

Answers

Answer:-1.277778 i think

Step-by-step explanation:

i think this means h(x) = (17+6)÷x

in which case h(-18) = (17+6)÷(-18) = -1.2777778

would help if you put the question in standard format

Suppose matrix D is the inverse of matrix C. Which of the following is equal to D?
O CDD
O CCD
O DDD
O CCC

Answers

Answer is First answer choice: CDD

==========================================

Explanation:

C and D are inverses of each other. When they multiply together, they will produce the identity matrix I

C*D = I

D*C = I

note: this is the uppercase letter 'i' and not the number one. The 'i' stands for 'identity'. Another thing to note is that matrix multiplication is not normally commutative, but it works for matrix inverses.

--------------------

So this means C*D*D = (C*D)*D = (I)*D = I*D = D because multiplying the identity matrix with some matrix X leads to the same matrix X.

This is why the first choice is the answer.

The second choice doesn't work because C*C*D = C*(C*D) = C*(I) = C*I = C

The third choice doesn't work because we don't have any C's here. All we can say is that D*D*D = D^3

Similarly choice 4 doesn't work as all we can say is C*C*C = C^3.

Domain: All real numbers
Domain: 3 > 0
Domain: X < 0
Range: All real numbers
Range: y > 0
Range: y < 0​

Answers

Answer:

Domain: x >0

Range : y < 0

Step-by-step explanation:

A bus took 1 hour and 30 minutes. How many minutes is that?

Answers

Answer: 90 mins

Step-by-step explanation:

1hr=60 mins+ 30 mins

Answer:

90 minutes.

Step-by-step explanation:

Conversion ratio of hours to minutes:

1 hour = 60 minutes.

Add the two numbers together:

60 minutes + 30 minutes = 90 minutes.

90 minutes is your answer.

~

Find the decimal equivalent to 415.


0.26

0.2ModifyingAbove 6 with bar

ModifyingAbove2.6 with bar

ModifyingAbove2.6 with bar

Answers

Answer:

[tex](B)0.2\overline{6}[/tex] (0.2ModifyingAbove 6 with bar)

Step-by-step explanation:

We want to find the decimal equivalent of 4/15.

[tex]\dfrac{4}{15}=0.266666666.....[/tex]

Since the number 6 recurs/repeats indefinitely, we write the recurring decimal as:

[tex]0.266666666.....=0.2\overline{6}\\$Therefore:\\4/15=0.2\overline{6}[/tex]

The correct option is B.

Answer:

i got you bro the answer is 0.26 with a  line on top of the 6

The diagram shows a prism.
0.5 m
2 m
0.5 m
side elevation
2 m
2 m
front
side
front elevation
Draw the front elevation and the side elevation
of the prism on the grids.
Use a scale of 2 squares to 1 m.​

Answers

Diagrams can be drawn using scale ratios, which can either represent enlargement or compression

The dimensions of the side elevation are given as:

0.5 m, 2 m and 0.5 m

The dimensions of the front elevation are given as:

2 m and 2 m

Using a scale of 2 squares to 1 m, the scaled dimensions become:

Side elevation: 1 square, 4 squares, 1 squareFront elevation: 4 squares and 4 squares

See attachment for illustration of the scaled measurement

Read more about scales and dilations at:

https://brainly.com/question/19347268

Write an equation for the nth term of the arithmetic sequence 56, 48, 40, 32, ....

An equation for the nth term of the arithmetic sequence is an

Answers

Answer:

an = 56-8(n-1)

Step-by-step explanation:

This is an arithmetic sequence

The common difference is 48 - 56 =-8

a1 = 56

an = a1+d(n-1)

an = 56-8(n-1)

The region of integration in the xy-plane for the given integral ∫∫R √(4xy) dy dx, where R is the region bounded by x = 0, x = -3, y = 0, and y = -9 - x^2, can be visualized as a triangular region in the first quadrant.

What is the geometric representation of the given integral?

The given integral is a double integral of the function √(4xy) over a specific region in the xy-plane. To determine the region of integration, we consider the given bounds: x ranges from 0 to -3, and y ranges from 0 to -9 - x^2.

Starting with the x bounds, x = 0 represents the y-axis, while x = -3 represents a vertical line passing through the point (-3, 0). Thus, the region is bounded by the y-axis on the left and the vertical line x = -3 on the right.

Moving on to the y bounds, y = 0 represents the x-axis, while y = -9 - x^2 represents a downward-opening parabola with its vertex at the origin and its axis of symmetry parallel to the y-axis. Since y is negative, the parabola lies below the x-axis.

By combining the x and y bounds, we obtain a triangular region in the first quadrant. The triangle is formed by the x-axis, the line x = -3, and the curve y = -9 - x^2. This region of integration represents the area over which the function √(4xy) is being integrated.

Learn more about integration

brainly.com/question/31744185

#SPJ11

What is the product of the polynomials below?
(3x^2 - 2x - 3)(5x^2 + 4x + 5)

Answers

Answer:

15x^4+2x^3-8x^2-22x-15

Step-by-step explanation:

Answer:

Your answer is

5x^4+2x^3-8x^2-22x-15

Step-by-step explanation:

I just simplified

witch of the expressions below could be used to find the amount of space occupied by the cone​

Answers

Answer:

V = 1/3 * πr²*h

Step-by-step explanation:

That's the formula for volume of a cone

Plz help plzzzzzzzzz

Answers

Answer:

47.13cm

Step-by-step explanation:

2×3.142×7.5cm

Answer:

47.13

Step-by-step explanation:

c=2πr

c=2×3.142×7.5cm

c=6.284×7.5cm

c=47.13cm

does anyone know this

Answers

Answer:

x = 12.24

Step-by-step explanation:

In any circle the following ratio can be used.

[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{x}{360}[/tex] , substitute values

[tex]\frac{1.88}{2(8.8)\pi }[/tex] = [tex]\frac{x}{360}[/tex] ( cross- multiply )

17.6π x = 276.8 ( divide both sides by 17.6π )

x = [tex]\frac{276.8}{17.6\pi }[/tex] ≈ 12.24

Answer:

12.24°

Step-by-step explanation:

I hope it helps :)

The question is in the screenshot attached. Thank you!

Answers

Answer:

Domain: -4 < x < 4

Zeros: (-2, 0), (0, 0) and (2, 0)

The function is positive if: 0 < x < 2

The function is negative if: -4 < x < 0 and 2 < x < 4

Step-by-step explanation:

Domain of the function are those x values where the function is defined, For this case, -4 < x < 4

Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)

The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)

The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)

What is the probability of spinning blue on the image shown?
ITS ON THINK THRU MATH NEED HELP

Answers

Answer:

So for the first spinner, the probability of the arrow pointing to blue on a spin is 1/4, the probability of it pointing to green is 1/4 and so on. This assumes that each section is the same physical size.

Step-by-step explanation:

Answer:

Where is the picture

Step-by-step explanation:

Lilly found 40 seashells. She
put 10 seashells in each bucket. How many
buckets did Lilly use? Show your work.
--------- buckets

Answers

Answer:

4 buckets

Step-by-step explanation:

40 divided by 10 is 4

Answer:

4 bucket

Step-by-step explanation:

We can either use division or repeated subtraction in this case! Division is easier!

40/10 = 4

4 groups of 10 is what this looks like! (In this case, 4 buckets of 10 seashells)

Which are perfect squares? Check all that apply.

A) 9
B) 24
C) 16
D) 200
E) 169
F) 625

Answers

Answer:

A

Step-by-step explanation:

Answer:

A. 9

C. 16  

E. 169

F. 625

Step-by-step explanation:

Rounded to the nearest hundredths 27.5=3+5(k-9.5)

Answers

Answer:

12 = k

Step-by-step explanation:

Begin: 27.5 = 3 + 5 (k-9.5)

1. Always begin with the parenthesis, which is 5(k-9.5), which comes out to be 5k - 47.5 since the 5 must be multiplied by the k and the -9.5.

Now: 27.5 = 3 + 5k - 47.5

2. Combine the 3 and -47.5, which comes to be -44.5

Now: 27.5 = -44.5 + 5k

3. Add 44.5 to both sides, to make the right side have only the 5k, and the left side to have 72

27.5 + 44.5 = -44.5 + 44.5 + 5k

Now: 72 = 5k

4. Divide both sides by 5 to be left with just what k equals

72/5 = 5k/5

Final Answer: 12 = k

Corresponding angles of AABC and ADEF are congruent. Does this prove that the triangles are congruent? Justify.

Answers

Answer:

Hi can you please tell of which grade question is this ?

Answer:

C

Step-by-step explanation:

Congruent corresponding angle makes triangle similar. For triangles to be congruent both the corresponding angles and the corresponding sides must be congruent.

The length of a rectangle is 3 units more than the width. The area of the rectangle is
40 units. What is the length, in units, of the rectangle?

Answers

Answer:

8 units for the length

Step-by-step explanation:

Let l = length

w = width

l = w+3

A = l*w

substitute what we know

40 = (w+3) *w

distribute

40 = w^2 +3w

Subtract 40 from each side

0 = w^2 +3w -40

Factor

0 = (w+8) (w-5)

Using the zero product property

w+8 =0   w-5=0

w= -8   w=5

Since the width cannot be negative

w=5

l = w+3 = 5+3

l = 8 units

The asnwer is 8 units for the length

Please help need it in 1 hour plz help will mark brainleist

Answers

Answer:

I can not see the question

Step-by-step explanation:

Meghan needs to board her cats and dogs at a kennel while she is on vacation. Pet Hotel charges $42.50 for a cat and $64.00 for a dog for a total cost of $277.00. Animal Spa charges $35.50 for a cat and $50.50 for a dog, for a total cost of $222.50.

Write a system of equations to represent each charge. Let x represent the number of cats and let y represent the number of dogs.

Pet Hotel: ?
Animal Spa: ?

Answers

Answer:

Pet Hotel: 42.50 x + 64 y =277

Animal Spa: 35.50x + 50.5y = 225.50

Step-by-step explanation:

Hi, to answer this question we have to write an equation for each place:

For Pet Hotel, the total cost (277) must be equal to the product of the number of cats (x) and the charge per cat (42.50) plus the product of the number of dogs (y) and the charge per dog (64) .

Mathematically speaking:

Pet hotel: 42.5 x + 64 y =277

Same process for Animal Spa:

Animal Spa: 35.5 x + 50.5y = 225.50

The system is:

42.5 x + 64 y =277 (Pet Hotel)

35.5 x + 50.5y = 225.50 (Animal Spa)

I need some help? :(

Answers

Answer:

imposable posable and all the way down like that

Step-by-step explanation:

Which of the following questions describes the equation g + (-4) = -5?

What number, when subtracted from negative four, is equal to negative five?
What number, when added to negative five, is equal to negative four?
What number, when subtracted from negative five, is equal to negative four?
What number, when added to negative four, is equal to negative five?

Answers

Answer:

What number, when added to negative four is equal to negative five.

Step-by-step explanation:

Rearange the numbers to get -4+g=-5.

This eqation now reads -4 plus a number g is equal to -5, and can also be read as what number (g) added to -4 = -5.

If we were to solve for g we would get g= -1.

Hope this helps!

G=-1          so

What number, when added to negative four, is equal to negative five

Help! Please answer the question below!

Answers

Ummm I don’t really know

please help mee! ill mark you brainliest! pleaseeee& thank qq!

Answers

Answer:172in

Step-by-step explanation:

Answer:

SA=172

Step-by-step explanation:

SA=2lw+2wh+2lh

=2(10)(2)+2(2)(5.5)+2(10)(5.5)

=172

Evaluate (if possible) the six trigonometric functions of the real number t. (if an answer is underfunded, enter UNDEFINED)
T= 4 π/3

Sin t=
Cos t=
Tan t=
Csc t=
Sec t=
Cot t=

Answers

Answer:

Step-by-step explanation:

sin= - square root 3/2                

cos= -1/2

tan= square root 3

csc= -2 square root 3/2

sec= -2

cot= square root3/4

Answer:

[tex]\sin\left(\frac{4\pi}{3}\right)=-\frac{\sqrt{3}}{2}\\\cos\left(\frac{4\pi}{3}\right)=-\frac{1}{2}\\\tan\left(\frac{4\pi}{3}\right)=\sqrt{3}\\\csc\left(\frac{4\pi}{3}\right)=-\frac{2\sqrt{3}}{3}\\\sec\left(\frac{4\pi}{3}\right)=-2\\\cot\left(\frac{4\pi}{3}\right)=\frac{\sqrt{3}}{3}[/tex]

We first find the corresponding angle of 4π/3.

[tex]\frac{4\pi}{3}-\pi=\frac{\pi}{3}[/tex]. And 4π/3 is in the third quadrant. There tan and cot are positive and rest are negative.

[tex]\sin\left(\frac{4\pi}{3}\right)=-\sin\left(\frac{\pi}{3}\right)=-\frac{\sqrt{3}}{2}\\\cos\left(\frac{4\pi}{3}\right)=-\cos\left(\frac{\pi}{3}\right)=-\frac{1}{2}\\\tan\left(\frac{4\pi}{3}\right)=\tan\left(\frac{\pi}{3}\right)=\sqrt{3}\\\csc\left(\frac{4\pi}{3}\right)=-\csc\left(\frac{\pi}{3}\right)=-\frac{2}{\sqrt{3}}=-\frac{2\sqrt{3}}{3}\\\sec\left(\frac{4\pi}{3}\right)=-\sec\left(\frac{\pi}{3}\right)=-2\\\cot\left(\frac{4\pi}{3}\right)=\cot\left(\frac{\pi}{3}\right)=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

Learn more: https://brainly.com/question/12356025

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g - 1)(3)?
O9-3-(4 + 3)2
6 -3 - (4 – 32)
6(3) - 4 + 32
6(3) - 4-32
ОО

Answers

The answer will be 6(3)-4-32

The population of browns burg is 25000. In ten years, it is expected to grow by 8.5%. How many people will live there in ten years?

Answers

25000 x 1.085 = 27125

27125 people will live in Browns burg in ten years.
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