Mathematics High School

4. Determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Write yes or no and explain your reasoning by showing work.

Answers

Answer 1

Answer:

YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

Step-by-step explanation:

Given

Given that the function f(x) and g(x) are inverse functions.

[tex]f\left(x\right)\:=\:\frac{1}{3}x\:+\:5[/tex]

[tex]g(x) = 3x - 15[/tex]

To determine

Let us determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

Determining the inverse function of f(x)

A function g is the inverse function of f if for y = f(x), x = g(y)

[tex]y=\frac{1}{3}x+5[/tex]

Replace x with y

[tex]x=\frac{1}{3}y+5[/tex]

Solve for y

[tex]y=3x-15[/tex]

Therefore,

YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

Related Questions

whats the difference between slope and rate of change?

Answers

Answer:

Slope is the ratio of the vertical and horizontal changes between two points on a surface or a line

Step-by-step explanation:

If coordinates of any two points of a line are given, then the rate of change is the ratio of the change in the y-coordinates to the change in the x-coordinates.

Help me plsssssss I’ve tried

Answers

D is the correct answer

hope that helps

i got d for an answer

i need help with #2!!!

Answers

Answer:

Step-by-step explanation:

the balance will be

523.00-95.60+(54.75)-32.45-125.00=324.70

Please help on this question:

Answers

Answer:

$149.88

Step-by-step explanation:

How is 8a - (8a - 8) equivalent to 8

Answers

Answer:

True

Step-by-step explanation:

8a -(8a - 8)

Multiply - to the inside (_) terms

8a - 8a + 8

Subtract 8a - 8a

You get 8 left

:)

Brainiest plz?

Samuel buys office supplies for his home business. The office supplies cost $175.79 before taxes. The sales tax rate is 8.25%. What is the amount of sales tax Samuel will pay?

a$8.25
b $145.03
c$14.50
d$190.29​

Answers

Answer:

It’s 14.50

Step-by-step explanation:

As the total answer with the taxes would be 190.29 so you subtract it by 175.79 to get 14.50.

What is 5+7X+2x-3+6?

Answers

Answer:

9x + 8 ?

Step-by-step explanation:

Answer:

8+9x or9x+8

Step-by-step explanation:

5+7x+2x-3+6

collect like terms

5-3+6+7x+2x

=8+9x

y-intercept is (0,-1) and slope is 4.​

Answers

Answer:

y=4x-1;  y-4x=-1

Step-by-step explanation:

Not too sure what this is asking but I'm assuming you mean how to write in slope-intercept form.

y=4x-1

...or in standard for

y-4x=-1

can someone help me answer this pls.

Answers

Answer:

a. {7,14}

b. {10,17,24,31}

c. (no)

Step-by-step explanation:

c. because for two different values of domain there is a single value of codomain (range )

An investment of $5000 has an annual growth rate of 8% for 3 years
a) How much is the investment worth if the interest is compounded quarterly?

Answers

Answer: The final balance is $6,341.21.

The total compound interest is $1,341.21.

Step-by-step explanation:

-6(1+6x)<6(1-5x)
Help me plz

Answers

If you are solving for x, you can click on the pic, but if you are not, then this answer will be useless, hope it helps, you can always give me feedback!

Which number is the base?

(-14)^3

Answers

Answer: -2744

Step-by-step explanation:

Try -2744? ( If i am wrong than sorry

13) Roots of the equation 2x2 = 22x - 11 is:​

Answers

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

The sides of a triangle measure 2x + 5, X – 4, and
3(2x + 1). What is the perimeter of the triangle?

Answers

Answer:

9x+4

Step-by-step explanation:

perimeter= sum of all sides

perimeter= (2x+5)+ (x-4)+ 3(2x+1)

= 2x+5+x-4+ 6x+3

= 2x+x+6x+5+3-4

= 9x+8-4

=9x+4

ANOTHER 10TH GRADE QUESTION

What is the value of x in the equation?

Answers

Answer:

x = 27

Step-by-step explanation:

4x + 7 = 5(x - 4)

4x + 7 = 5x - 20

4x - 5x = -20 - 7

-x = -27

x = 27

I need help[ lol
so like yeahhh help?

Answers

Answer:

A

Step-by-step explanation:

1 = 180 - 154

2 = 154 (the same as the opposite side)

2) -8(-8x - 6) = -6x – 22

Answers

Answer:

x = -1

Step-by-step explanation:

-8(-8x - 6) = -6x - 22          {Use distributive property}

(-8) * (-8x)  - 6 *(-8) = -6x - 22    

64x +  48 = -6x -22  {Add 6x to both sides}

64x + 6x + 48 = -22         {Subtract 48 from both sides}

         70x     = -22 -48

              70x = -70            {Divide both sides by 70}

                  x = -70/70

x = -1

A cone has a volume of 60. If the radius is 2 feet,
what is the height of the cone?
10 feet
15 feet
45 feet
90 feet

Answers

Answer:

B don't be afraid of the rounding that took place. In this case, you pick the closest answer.

Step-by-step explanation:

Givens

r = 2

V = 60

Formula

V = 1/3 pi r^2 h

Solution

60 = 1/3 * 3.14 * 2^2 * h

60 *3 /(3.14 * 4) = h

h = 14.33 feet which is B

Mikayla has $30 in a cafeteria account. She spends $3 each day for lunch. Which equation matches Mikayla's situation?
y=3x-30
y=-3x-30
y=30x-3
y=30-3x

Answers

Answer:

y=30-3x

Step-by-step explanation:

يملك العم احمد قطعة ارض مساحتها 120 00 00 mمربع فقام بتجزئتها كالتالي:

الجزء الاول :
[tex] \frac{2}{4} [/tex]
من المساحة اشجار مثمرة
الجزء الثاني :سدس من المساحة بقوليات
الجزء الثالث: 3على 12 من مساحة الارض للقمح
الجزء الرابع : المساحة المتبقية لانشاء حضيرة مواشي
1- عبر بكسر عن الجزء الرابع .
2-ماهو الكسر الذي يمثل الجزء الاكبر.
3-اوجد مساحة المخصصة لكل جزء بالمتر مربع
​

Answers

Answer:

What?? I can't help you if I can't understand it.If it was in English then I can help you if it's not in English I can't help you.I'm sorry

free coins- 1) what is 2+2?
2) 5x5
3) sam has 30 lemons, she gives 7 to her friend. how many lemons does her friend have?

may you answer them all-so you can earn it?

Answers

Answer:

mean

Step-by-step explanation:

Answer:

1) 4

2) 25

3) 7 lemons

Step-by-step explanation:

sam has a lemon problem

whats the inequality of
7(x+1)-6x7-8

Answers

Answer: −6x7+7x−1

Step-by-step explanation:

Distribute:

=(7)(x)+(7)(1)+−6x7+−8

=7x+7+−6x7+−8

Combine Like Terms:

=7x+7+−6x7+−8

=(−6x7)+(7x)+(7+−8)

please. please. please. help

Answers

Answer:

kjh7563653 365385 36539y5 53nkddg dhdk djgd ghgkg d99  76  79

Step-by-step explanation:

The line with equation y = 2 x + 3 is reflected in the x -axis. Which of the following is the equation of the new line

Answers

y = 2x -3

the y-axis becomes negative since it is reflected. the x-axis remains the same since it is the beginning number

look at diagram..............

Answers

Answer:

131°

Step-by-step explanation:

Answer:

131

Step-by-step explanation:

angle RSP and and OPS are supplementary angles meaning they will add up to equal 180.  180-49=131 so angle OPS=131

Monisha and Holly have 14 more days to finish reading the same novel for class. Monisha plans to read 9 pages each day, while Holly plans to read 20 pages each day. 3. Suppose Monisha reads 10 pages each day instead. a. How will that change the length of time it takes for Holly to catch up with Monisha?

Answers

Answer: Holly will catch up with monisha after 9 days

Yes holly will finish the book after about 11 days and monisha will finish the book after about 13 days

Step-by-step explanation:

Please help! I will chose Brainlist! Thank you!
A model of a building is made using a scale of 1 inch= 25 feet. What is the height of the actual building if the height of the model is 12.5 inches.

Answers

Step-by-step explanation:

12.5 ×25

312.5

plz make me brainliest

All of the following expressions are equal except___.
2^-3
8
1/8
2^1/2^4

Answers

Answer:

B. 8

Step-by-step explanation:

All of the other expressions equal [tex]\frac{1}{8}[/tex]. 8 is the only one that doesn't equal that fraction.

Hope it helps!

this is really important please help, and please show work if you can

Answers

Answer:

C. 26°

Step-by-step explanation:

We have to subtract m∠GOH ( 24° ) from m∠FOH ( 50°)

50° - 24° = 26°

C. 26°

Given that 8 x − 3 y = 36 Find x when y = 3 Give your answer as an improper fraction in its simplest form.

Answers

Answer:

5.62

Step-by-step explanation:

8x-3y=36

8x-3×3=36

8x=36+9

x=5.62

Answer:

x= 45/8

Step-by-step explanation:

8x - 3y = 36

8x - 3(3) = 36

8x - 9 = 36

8x=45

x=45/8

Other Questions
Which sentence best uses the word shot in the sense of "matter fired from a cannon"?A. They took their best shot and won the competition.B. The general knew that shot would do the greatest damage.C. He took a shot of them reenacting a battle.D. One of the crew members' hands shot up; he knew the answer. Need help with this. Can somebody help me with this math. What does ousted mean in this statement? The U.S. and its allies invaded Afghanistan, in part to remove the Taliban from power. The U.S.-led coalition quickly ousted the terrorist group and helped set up a new Afghan government.A. establishedB. joinedC. helpedD. overthrew Ms. Hendricks encourages her sixth-grade class to keep reading during breaks from school. She said that during a break lasting d days, they should each read 30d minutes in total. This year, spring break is 9 days long. Read the section "Players Played Games,Answered Questions."Which sentence from the section explains how theOxford University study differed from earlier videogame research? What form is the carbon prior to the lion eating the giraffe?*1 pointCarbon dioxideSugarNitrogen I need help it's due today and i don't know which one it is What is the difference between something that sometimes happens and something that seldom happens? pointLook at the materials shown below.PlantGoldSilverWaterWhich of these materials are minerals? silver and waterB silver and goldC plant and gold D plant and water 1. Find the mass of an object with velocity 25 m/s and with a momentum 95kg.m/s. An Apple grower harvested 3280 green apples and 12220 Red apples in one day. Apples can be boxed at a rate of 500 apples per hour. Many minutes will it take to box all of the apples plz halpppp............................fastttt PLEASE HELP I will mark Brainliest!!!How does the agreement of USMCA affect the economy of Canada? Choose one answer.1. It created many low paying jobs in Canada.2. The jobs were relocated to the United States.3. It decreased imports to Canada.4. It eliminated tariffs with the U.S. and Mexico Volume of the figures below? What shape is made by rotating the triangle around line M?Cylinder or cone?Radius of 5 or Diameter of 5? Let f(x)= 3x - 1 and g(x)=x^2 + 1Find (f o g) 7).Then (fog)(7) = 1. (Simplify your answer.) Evaluate the expressio (4 x 5)2 6 + 3 = Liz increased the prices of menu items 5% from last month. If a fresh-squeezed lemonade was priced at $2.80 last month, what is the new price? Explain why the earliest period of human history is called the Stone Age? What are the two main periods of the Stone Age?ANSWER: Scholars refer to the earliest period in human history as the Stone Age because during this time period humans first began creating tools, weapons, and figures out of stone. The Stone Age is divided into two main time periods: the Paleolithic period and the Neolithic period.