Mathematics College

Functions:

In image 1: Evaluate the functions

In image 2: Given the functions, find their inverse, if possible and if not possible, redefine Domain or Range

Functions:In Image 1: Evaluate The FunctionsIn Image 2: Given The Functions, Find Their Inverse, If Possible
Functions:In Image 1: Evaluate The FunctionsIn Image 2: Given The Functions, Find Their Inverse, If Possible

Answers

Answer 1

Answer:

Image 1

1. x = 4

f(4) = (- 3*4 + 1) / 6 = -11/6

2. x = -2/3

f(-2/3) = -3*(-2/3) + 10 = 2 + 10 = 12

3. x = -5

f(-5) = [tex]\sqrt{-(-5)/20}[/tex] = [tex]\sqrt{5/20}[/tex] = [tex]\sqrt{1/4}[/tex] = 1/2Image 2To work out the inverse, substitute f(x) with x and x with y, then solve for y. The new function is the inverse of the given.

1. f(x) = 5x + 3

x = 5y + 3 ⇒ 5y = x - 3 ⇒ y = (x - 3)/5f⁻¹(x) =  (x - 3)/5

2. f(x) = 4/5x

x = 4/5y ⇒ y = 5/4xf⁻¹(x) = 5/4x

3. f(x) = (2x + 7)/4

x = (2y + 7)/4 ⇒ 2y + 7 = 4x ⇒ 2y = 4x - 7 ⇒ y = 2x - 3.5f⁻¹(x) = 2x - 3.5

4. f(x) = (2x + 7) /(x + 3) = 2 + 1/(x + 3)

x = 2 +  1/(y + 3) ⇒ x - 2 = 1/(y + 3) ⇒ y + 3 = 1/(x - 2) ⇒ y = (1 - 3x + 6)/(x - 2) ⇒ y = (7 - 3x)/(x - 2)f⁻¹(x) =  (7 - 3x)/(x - 2)

5. f(x) = [tex]\sqrt{x - 4}[/tex]

x = [tex]\sqrt{y - 4}[/tex] ⇒ x² = y - 4 ⇒ y = x² + 4f⁻¹(x) = x² + 4

Related Questions

I need help please.

Answers

Answer:

may it help you..MARK ME AS BRAINLISTS PLS

Find the area of the rectangle shown. 0.3 in. 0.6 in.

Answers

Answer:

The answer is 0.18

Step-by-step explanation:

All you have to do is multipy length x width

HURRY I NEED HELPP!!​

Answers

1 and 2= adjacent, 1 and 3= vertical, 3 and 4= adjacent, 2 and 4= vertical

what is the order from least to greatest(38%,3/8,0.4,1/3,41%,0.33)

Answers

.33, 1/3, 3/8, 38%, .4, 41% is order from least to greatest

Please somebody help me and solve this problem

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Answer:

this is the equation for the graph y=(x+3)(x-2)

help plz ill give extra points

Answers

The correct answer is D. An outlier on a graph is going to be a point that is either off center of the line that can be drawn or that is further away from the rest of the points. In this case the point at 0, 18 is the furthest point so therefore it must be the outlier. Noticing that at that point the length and mass of the shark is very small, it is fair to say that that shark is a newborn small shark and he is the outlier among the larger and longer sharks in the ocean.

Hope this helps

YOO LAST ONE HELP OUT

Answers

Answer:

The answer for A: The coordinates for G is (5,3) so plot that in.

The answer for B: "G and E are 5 units away from the y-axis"

The answer for C: "The distance between G and E is 10 units"

Hope this helps!

Step-by-step explanation:

What is the area of the parallelogram below? Use the formula A = bh. 8 ft 13 ft​

Answers

Answer:

Step-by-step explanation:

i think its 104

As a punishment for something naughty that we did, my little brother and I have to whitewash both sides of a fence. We start at the same time, and we each work at a constant rate.

If we each whitewash one side, I'll finish in $2$ hours and my brother will finish in $3$ hours. But I'm a nice kid, so after I finish my side, I go around to the other side and help my brother finish his side. From the time I start helping him, how many minutes does it take us to finish the job?

Answers

Answer:

60 minutes which grade

are you in I did it I think

Step-by-step explanation:

I Finish Work in 2 hrs

Work done in 1 Hr = 1/2

Brother Finish work in 3 Hrs Work done in 1 hr = 1/3

Let Say both Complete Work in T hrs as it has to be painted on both sides

Then T (1/2+1/3) = 2

=> T × 5/6 = 2

=> T = 2 Hr 24 Mins

=> T = 12/5 I will Take 2 Hrs to finish my work & 24 Mins to finish after start Helping

Learn more here:

Ajay along with Vijay do a work in 10 days. If Ajay do a work in 1/2...

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Atul, Bhaskar and Chetan can complete a work in 10, 20 and 25..

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10 men can complete a job in 200 days. They started the work. After...

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Please help!! No links

Answers

9514 1404 393

Answer:

  10.5

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so ...

  ZX/ZY = CA/CB

  ZX = Zy(CA/CB) = 14(3/4)

  ZX = 10.5

I need help what's the answer anyone?​

Answers

Answer:

B

Step-by-step explanation:

work out 5×6 - 8 ÷2​

Answers

Answer:   26

Step-by-step explanation:

5×6 - 8 ÷2​

= 30 - 8 ÷2​

= 30 - 4

= 26​

Answer:

26

Step-by-step explanation:

so we start off with 5x6 from PEMDAS so 5x6 = 30

then we have 8 divided by 2 = 4

30-4 = 26

What is the probability that Mary will get an "11"?

Answers

Answer:

yeaa what

Step-by-step explanation:

Which answers describe the shape below? Check all that apply.
O A. Trapezoid
O B. Parallelogram
O c. Square
D. Quadrilateral
E. Rhombus
F. Rectangle

Answers

Answer:

Square, Quadrilateral, Rhombus, Rectangle

Step-by-step explanation:

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

This is the correct graph but can it fit on your graph?

Step-by-step explanation:

Answer:

is in the photo

Step-by-step explanation:

hope this helps

Please Help i give brainies

Answers

Step-by-step explanation:

[tex] \sqrt{3} is \: between \: 1.73and1.74[/tex]

I GIVE BRAINLIEST FOR ANSWER AND EXPLANATION

Answers

i see no shaded region here

PLS HELP WILL MARK BRAINLEST

Answers

Answer:

uhhhhhhhhh help with what ?

The number of students, s, is at most 30.​

Answers

Answer:

I'm confused

Step-by-step explanation:

maybe more context?

What is the range for c=6t+8

Answers

Answer:

is this statistics? i will change my answer once u explain to me thank you.

Step-by-step explanation:

Answer:

Its infinite

Step-by-step explanation:

Which function is shown in the graph below?
y= 22-2 + 3
y = 2X+2+3
y = 2X-3+2 Y=2^x+3+2

Answers

Answer:

B 2^x+2 +3

Step-by-step explanation:

hope this helps :)

The function that matches the graph and the given points (7, 0) and (-8, 5) is: y = 2X + 2 + 3. (option b)

This function seems to have a typo, as it simplifies to y = 23, which is a constant value and does not depend on the variable x. This means the graph would be a horizontal line at y = 23 and would not pass through the points (7, 0) and (-8, 5).

y = 2X + 2 + 3

This function can be simplified to y = 2X + 5. Evaluating the points (7, 0) and (-8, 5) in this function:

For (7, 0):

y = 2 * 7 + 5

y = 14 + 5

y = 19

For (-8, 5):

y = 2 * (-8) + 5

y = -16 + 5

y = -11

y = 2X - 3 + 2 Y = 2ˣ + 3 + 2:

It seems there is a typo in this option with "Y" being capitalized. Assuming it is meant to be y, we have two separate functions:

a. y = 2X - 3 + 2

b. y = 2ˣ + 3 + 2

a. For y = 2X - 3 + 2:

Evaluating the points (7, 0) and (-8, 5):

For (7, 0):

y = 2 * 7 - 3 + 2

y = 14 - 3 + 2

y = 13

For (-8, 5):

y = 2 * (-8) - 3 + 2

y = -16 - 3 + 2

y = -17

b. For y = 2ˣ + 3 + 2:

Evaluating the points (7, 0) and (-8, 5):

For (7, 0):

y = 2⁷ + 3 + 2

y = 128 + 3 + 2

y = 133

For (-8, 5):

y = 2⁻⁸ + 3 + 2

y ≈ 0.004 + 3 + 2

y ≈ 5.004

To know more about function here

https://brainly.com/question/28193995

#SPJ2

I WILL GIVE BRAINLIEST
And more points please answer

Answers

Answer:

Step-by-step explanation:

Answer: Linda's 1/2 .  Phil's $0.50

Step-by-step explanation: the rate is the slop which is rise/run if that makes sense

Given the graphs of f(x) = 2x + 2 and g(x) = x - 2, find the solution to this system of equations:​

Answers

Answer:

(-4,-6)

hope this helps !

The graphs below have the same shape. What is the equation of the red
graph?

Answers

Answer:

G(x)=(1-x)⁴

Step-by-step explanation:

2 ft 10 inches of 3 1/2 ft​

Answers

Answer0.7

Step-by-step explanation:In math of mostly means to multiply ,so 2/10x3 1/2=0.7

In ΔKLM, l = 7 inches, k = 9.5 inches and ∠K=54°. Find all possible values of ∠L, to the nearest 10th of a degree.

Answers

Answer: 36.6

Step-by-step explanation: did on delta math

I need help please help

Answers

Answer:

A

Step-by-step explanation:

use the formula A=pi*r^2 to find the answer

Answer:

34.54 ft2

Step-by-step explanation:

You could figure it out by simply it

here is a tree dagan shouting the sample sue for independent events. How many otcomes are there for the first event

8
2
1
4​

Answers

Answer:

2 events

Step-by-step explanation:

There are four options. If 1 is selected, then we have two outcomes of the event. This means that there are two outcomes for the first event.

Hope this helps. Have a nice day.

Need Help ASAP
Thanks so much in advance...​

Answers

Answer:

I will post 4,5 and 6 separately.

1/3 + 1/2 and I am 5 years old

Answers

Answer:

5/6

Step-by-step explanation:

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