Mathematics High School

Write the inverse function,
f^-1 (x), for the function
f (x) = 1/3x-4

Answers

Answer 1

[tex]f(x) = \frac{1}{3}x - 4 \\ [/tex]

[tex]y = \frac{1}{3}x - 4 \\ [/tex]

Subtract the sides of the equation plus 4

[tex]y + 4 = \frac{1}{3}x \\ [/tex]

Multiply the sides of the equation by 3

[tex]3(y + 4) = x[/tex]

[tex]3y + 12 = x[/tex]

So ;

[tex] {f}^{ - 1}(x) = 3x + 12 [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Related Questions

Can someone tell me the Term, variable, exponet, power and coefficient

I would appreciate it a lot

Answers

Variable=b
Coefficient=4
exponent=the four above the -b
Term=-1

If x is direct proportional to y cube and x=32 when y=2
1. Find the value of x when y=6
2. Calculate the value of y when x=108

Answers

Answer:

1x=864,

2y=3

Step-by-step explanation:

y=6,x=?

if x is directly proportional to y^3 &if (when x=32, y is=2) we can understand that x=4y^3

1,x=4y^3

x=4(6^3)

x=4(216)

x=864

2,x=4y^3

108=4y^3

108/4=4y^3/4

27=y^3

√27=y

y=3

i think it is easy to understand,but if the answers are not clear you can ask me &i hope it helps you

Which trigonometric expressions equal Negative one-half? Check all that apply.

cos(120°)
Sine (StartFraction 7 pi Over 6 EndFraction)
sin(–120°)
Cosine (StartFraction 7 pi Over 6 EndFraction)
Cosine (negative StartFraction 10 pi Over 3 EndFraction)

Answers

Answer:

Its A B E

Step-by-step explanation:

Got it on Edge

HELP!!!! Please it’s 6th grade!!

Answers

It’s the second one with {14, -7, 0, 243, -3}

help i dont understand this..

Answers

Answer:

the last one

Step-by-step explanation:

x=1.61y

since y is the amount of miles

and

x is in kilometers

What is the answer pls help

Answers

Answer:

a 180* clockwise rotation

Step-by-step explanation:

It is being flipped 180*.

180 is the answer so yeah.

Which of the lines graphed has a slope of 1 and a y-intercept of -3?

Answers

C because it crosses the y-axis at -3 and it goes up at a rate of rise 1, right 1

A deep sea exploring ship is pulling up a driver at the rate of 45 feet per minute. How deep is the diver 10 minutes?

Answers

Answer:

450 ft

Step-by-step explanation:

45 x 10 = 450

Answer:

450 feet

Step-by-step explanation:

45 times 10 = 450

If you were to sketch L_ PUT, what would the vertex be?

Answers

What do you mean by that

Help!!! What is the equation of the following function? Show any work.

Answers

Answer:

[tex]y=-3(x+2)^2-3[/tex]

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

[tex]y=a(x-h)^2+k[/tex]

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

The graph provided in the question, assumed as a parabola, has two clear points:

The vertex, located at (-2,-3)

The point (-1,-6)

Substituting the coordinates of the vertex, the equation of the function is:

[tex]y=a(x-(-2))^2-3[/tex]

[tex]y=a(x+2)^2-3[/tex]

The value of a will be determined by using the other point (-1,-6):

[tex]-6=a(-1+2)^2-3[/tex]

Operating:

[tex]-6=a(1)-3[/tex]

Solving:

a=-3

The equation of the graph is:

[tex]\boxed{y=-3(x+2)^2-3}[/tex]

PLEASE ANSWER. I WILL MARK BRAINLIEST IF CORRECT! How does the graph of g(x)=√16x/36 compare to the graph of the square root function?


A. The graph is shrunk by a factor of 4/9.

B. The graph is shrunk by a factor of 2/3.

C. The graph is stretched by a factor of 4/9.

D. The graph is stretched by a factor of 2/3.

​

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

I copied the answer above me tbh

Will Be Marking Brainliest!!!
Johanna has a tricycle. The following graph shows the distance she pedals over time.

Answers

90 per minute i wish this helps

Answer:

A. 90 ft/min

Explanation:

Each minute seems to be going up by 90 minutes (y=90x+0)

This is what it looks like:

(0,0)

(1,90)

(2,180)

(3,270)

(4,360)

(5,450)

And I placed those pints on a graph...

(This is also Linear)

What is the x-intercept of the slope of -2 and a y-intercept of 0, 6

Answers

Answer:

x- intercept = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 and c = 6 , thus

y = - 2x + 6 ← is the equation of the line

To find the x- intercept, let y = 0 in the equation and solve for x

- 2x + 6 = 0 ( subtract 6 from both sides )

- 2x = - 6 ( divide both sides by - 2 )

x = 3 ← x- intercept or (3, 0 )

X-incterpret=3 is the answer you’re look for

A is the midpoint of XY
A. find XA
B. Find AY and XY

Answers

XA=32
AY=32
XY=64

I think those are right

Write an expression that is equivalent to three over four (5z+ 16).

Answers

15 over fourz +12

Using the distributive property, 3/4 • 5z equals 15/4z, which can't be simplified. Then 3/4 of 16 is 12. If you divide 16 by 4 (the denominator) and then multiply by 3 (the numerator) that yields your answer.

Answer:

15/4 z + 12

Step-by-step explanation:

Write an equation and interpret the y-intercept.
You need $125 to buy an MP3 player. Your allowance is $5 per week and you earn $20 per lawn mowed
Write an equation that represents your weekly income in dollars for x lawns mowed. Interpret the y intercept . How many lawns do you need to mow to earn enough money in one week to buy the MP3 player?

Answers

Answer:

Answer in explanation

Step-by-step explanation:

The equation of a straight line can be represented in the form;

y = mx + c

where m is slope and c is y-intercept

In this particular case

y = 20x + 5

y is the weekly income, x is the number of lawns mowed

The y-intercept 5 is the amount earned in a week given they no lawn was mowed

In a case where y = 125

125 = 20x + 5

20x = 125-5

20x = 120

x = 120/20

x = 6

You need to mow 6 lawns to earn enough money in one week to buy the MP3 player

Which of the following equations represent linear function?

Answers

Answer:

click them all and whatever shows up right then keep that.. bc thats big ideas.. i know how that works

Step-by-step explanation:

Find the mean of:
1.8, 1.7, 1.3, 1.1, 1.2, 1.6, 1.8

Answers

Answer:

1.5 is your answer

Answer:

1.5

Step-by-step explanation:

Ana is going to a craft fair where she'll sell her handmade scarfs. She has six scarf designs, and she's made 15 of each. She's paid $128 for the booth, and each scarf costs $9.80 to make. How much should she charge for each scarf if she wants to break even after selling a third of her scarves?

Answers

Answer:

$33.6667

Step-by-step explanation:

Given the following :

Number of Scarf designs = 6

Number of each made = 15

Total scarfs = (15 * 6) = 90

Cost:

Booth = $128

Production cost per scarf = $9.80

Total production cost = $9.80 * 90 = $882

Total cost = $128 + $882 = $1010

Break even = profit - loss = 0

One third of scarves = 1/3 * 90 = 30

This means he must cover for the total cost of $1010 after selling 30 scarves

Hence price per scarf will be :

$1010 / 30

= $33.6667

Line 1: (15, 20), (17, 18)
Line 2: (-22, -18), (-20, -16)
The two lines are ______

A. Parallel
B. Neither
C. Perpendicular
D. Opposite

Answers

The lines are Perpendicular. The 2 lines intersect and create a angle of 90 degrees.

pls help me on this!

Answers

Answer:

5 2/3

Step-by-step explanation:

So because it is a mixed number that means you want to have a whole plus a fraction. You keep the 5 as the whole and because 2/3=.666666. You add them together making 5 2/3.

Select the proper order from least to greatest pleas

Answers

Answer: B

Proof is 7/6 is more than a whole so it’s the greatest while 1/8 is the least then that leaves 2/3 and 9/10 and 9/10 is greater than 2/3 so the answer should be B

Answer:

Your picture is locked I would fix it but I dont know how.

Step-by-step explanation:

Anybody wanna help please

Answers

Answer:

x=24

Step-by-step explanation:

x=180-156

x= 24

X= 24

Explanation: 180-156=24

can someone please help me?​

Answers

Answer: the water increases by 2 every hour

Step-by-step explanation:

Answer:2 inches per hour

Step-by-step explanation:

The x axis shows how many hours have passed and the y axis shows how many inches it is so on 1 hr it had 2 inches and on 2 hrs it had 4 inches

Help i really need some help for this!!!! Complete the equation so that it has infinitely many solutions.

13(3−z)

Answers

Answer:

13(3 - z) = 13(3 - z)

13(3 - z) = 39 - 13z

Step-by-step explanation:

To make the equation have infinitely many solutions, when you simplify, the equation will become z = z

To make this happen, the equation has to be the same on either side of the equal sign. Here are the two options :

13(3 - z) = 13(3 - z)

13(3 - z) = 39 - 13z

The number of students in a chess club decreased from 40 to 19. What is the percent decrease? Round your answer to the nearest percent.


The percent decrease is
%.

Answers

The answer is .475 or .5 percent

Find the sum or difference of the polynomials.

(7x2 + 5x −3) +(5x2 −9x +6)

Answers

Answer:

12x2−4x+3

Step-by-step explanation:

Find the area, in square units, of ABC plotted below.

Answers

Answer:

answer is 55

hope it is helpful to you

Can someone please help me ASAP

Answers

The answer is 2.2 x 10^5

The sum of 3 fifteens and 17 fifteens in numbers and symbols

Answers

Answer: The sum of 3 fifteens and 17 fifteens is 3+17 = 20 fifteens.  20 fifteens can be expressed as 20 x 15 = 300.

Step-by-step explanation:

20 x 15 = 300.

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