If f(x) = 2x + 10, then f^-1(x) =

Answers

Answer 1

If [tex]f^{-1}(x)[/tex] is the inverse of [tex]f(x)[/tex], then

[tex]f\left(f^{-1}(x)\right) = x[/tex]

by definition of inverse function. We have

[tex]f\left(f^{-1}(x)\right) = 2f^{-1}(x) + 10 = x[/tex]

Solve for the inverse :

[tex]2f^{-1}(x) + 10 = x \\\\ 2f^{-1}(x) = x-10 \\\\ \boxed{f^{-1}(x) = \dfrac{x-10}2}[/tex]


Related Questions


An appliance repair company charges $22 per hour to do repairs. In addition, the company charges a $35 flat-rate
fee per repair visit. Which equation represents the total cost, C, of a single repair visit that takes h hours?
A c (22 35)
B. C3522
C. C2335

Answers

The answer is C to your question

Find the product. Simplify.
(x + 7)(x + 4) =

Answers

Answer:

Hi! The answer to your question is [tex]x^{2}[/tex]+11x+28

Step-by-step explanation:Answer:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!

- Brooklynn Deka

Help ASAP????? Please

Answers

Answer:

C. (-5,-1)

E. (10,2)

F. (15,3)

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

hope it helps...

have a great day!!

Pls Help! Put a proper answer! And do not put a link or I will report you!
Two times the sum of a number, x, and 9 is at most four times the number. Write and solve an inequality to find the value of the number.

Answers

Answer:

2(x+9)≤4x

Step-by-step explanation:

2x+18≤4x

-18       -18

2x≤4x-18

-4x  -4x

-2x≤18

/-2  /-2

x≥9

Use the fundamental counting principle to determine all the possible outcomes from rolling a die once then spinning the spinner.

Answers

The answer is there are 6 possible outcomes: {1, 2, 3, 4, 5, 6} Hope this helps!

Help plsssss What is x

Answers

Answer:

X = 8

Step-by-step explanation:

Kindly check the image below for the relationship between two segments in a circle that intersect

A * B = C * D

This relationship is important to understand when trying to solve for x in this type of problem

Now imagine that A = 15 B = x C = 10 and D = 12

Now we want to create an equation

( Using the relationship )

15 * x = 12 * 10

Now we solve for x using basic algebra

12 * 10 = 120

15x = 120

* divide each side by 15 *

15x/15 = x

120 / 15 = 8

we're left with x = 8

Which ratio is equivalent to 7:3?


A. 21: 7

B. 28 : 12

C. 12 : 8

D. 49:9

Answers

Answer:

The answer is B.

Step-by-step explanation:

7x4 is 28 which means you have to multiply 3x4. That gives you 12. 28:12 is the proper ratio. (Hope this helped!)

Answer:

b.28/12

Step-by-step explanation:

e+ 1.2= 2 please help!

Answers

Answer:

[tex]e=0.8[/tex]

Step-by-step explanation:

[tex]\mathrm{Subtract\:}1.2\mathrm{\:from\:both\:sides}[/tex]

[tex]e+1.2-1.2=2-1.2[/tex]

[tex]e=0.8[/tex]

A chili recipe calls for ground beef, beans, green pepper, onion, chili powder, crushed tomatoes, salt and pepper. You have lost the directions about the order in which to add the ingredients, so you decide to add them in a random order. What is the probability that the ingredients are added in the exact order listed above?

Answers

Answer:

1 out of 8 chance it will be listed exactly

Which equation shows how to find the
angle measure of the part of the circle
without the arrow?

Answers

B because it can be A since a circle is 360 degrees and an arrow is only 90 degrees so that is why i think B

Part c Katie started with $40. How much money did she have left after purchasing the supplies? Enter your answer in the box provided.​

Answers

Answer:

gotta give me more details here Katie

what is the measurement?

Answers

this question involves trig

sinx=p/h -----> some people have  

cosx=b/h ----> curly brown hair  

tanx=p/b -----> through proper brushing

we have p and h in this question so we can use the first formula

[tex]sinx=\frac{23}{28} \\x=sinx^{-1} \frac{23}{28} \\x=55.2[/tex]

Answer:

55.2

Step-by-step explanation:

sinx= 23/28

multiple both sides by inverse sin

x= sin^-1(23/28)

x= 55.2

All real numbers greater than or equal to -7 and less than 2

Answers

Answer:

-7=<x<2

Step-by-step explanation:

Please help me fast if possible :(

Answers

It’s b I hope this helps!

Answer:

B

Step-by-step explanation:

Hi there!

The first one is addition because if she got more, we are adding to it.

The last one seems to be a multiplication problem, "each friend"

I am so sorry if this is wrong, Hope you have a good day/night.

Please help me immediately... i need help
Tory sold 50 balloons for School Spirit Day. He raised $37.50. He wrote this equation to show how much he charged for each balloon.

= 37.50

What mistake did Tory make in writing his equation? What is a correct equation and its solution?
A. He divided b by 50 instead of by 37.50. A correct equation is = 50. Its solution is $1,875.
B. He divided b by 50 instead of dividing 50 by b. A correct equation is = 37.50. Its solution is $1.33.
C. He divided b by 50 instead of multiplying b by 50.A correct equation is 50b = 37.50. Its solution is $0.75.
D. He divided b by 50 instead of setting up a proportion. A correct equation is = . Its solution is $1,875.

Answers

Answer:

Answer is C $0.75

Step-by-step explanation:

50b = 37.50

divide both sides by 50

50 cancels out b is by itself.

37.50 divide by 50= 0.75

The mistake Tory made is he divided b by 50 instead of multiplying b by 50. A correct equation is 50b = 37.50. Its solution is $0.75.

What does division mean?

Division is a mathematical operation that involves the grouping of  a number into equal parts using another number. The sign used to denote division is ÷.

The equation that represents the total amount raised: total balloons sold x cost of one balloon

b x 50 = 37.50

b = 37.50/ 5-

b = $0.75

To learn more about division, please check: https://brainly.com/question/13281206

What is the area of triangle BCD to the nearest tenth of a square centimeter? Use special right triangles to
help find the height. Show your work.

Answers

Answer:

Area = 13.8 cm²

Step-by-step explanation:

Area of a triangle = ½*base*height

base = 4 cm

height = ?

Find height using trigonometry function:

Reference angle = 60°

Opp = height = BC

Adj = 4 cm

Apply TOA:

Tan 60 = Opp/Adj

Tan 60 = BC/4

BC = 4*Tan 60

BC = 6.92820324 ≈ 6.9 cm

✔️Area of triangle = ½*4*6.9

= 13.8 cm²

What is the volume of this prism?

Answers

Answer:

The answer is 42ft ^3 (42 ft units cubed)

Step-by-step explanation:

To find the volume for a rectangular prism, first of all you need to know the formula. The formula is V=lwh (volume= length x width x height)

The formmula for this problem is V= 7ft x 2ft x 3ft= 42ft

A skateboarder rides by my office every 12 minutes, and a cyclist rides by every 8 minutes. How long will it take for the skateboarder and cyclist to ride by at the same time?
96 minutes
72 minutes
48 minutes
24 minutes​

Answers

Answer:

48 Minutes

Step-by-step explanation:

find a common factor 48:

4*12

6*8

so the answer is 48.

Answer:

24 minutes

Step-by-step explanation:

The Lowest Common Multiple of 12 and 8 is 24:

1. List all prime factors of 12 and 8

2. Cross out any recurring numbers

3. multiple all remaining numbers with the crossed out ones used once

the winner of a raffle will receive a 21-foot outboard boat. if 2000 raffle tickets were sold and you purchased 50 tickets, what are the odds against your winning boat?

Answers

i honestly have no idea

What are the first 100 digits of pi?

Answers

Answer:

3.1415926585979323846264338327952884197967987511582097414459230781546262862089910825342117067?

I did this from memory of a song I didn't use goo gle so all might not be right

Step-by-step explanation:

Kevin walked 5 miles in 3 hours. What was his walking rate in miles per hour?
But use the / as your answer like 5/8

Answers

9514 1404 393

Answer:

  5/3 mi/h

Step-by-step explanation:

To find rate in miles per hour, divide miles by hours:

  (5 mi)/(3 h) = 5/3 mi/h

A small town has 2,500 residents. In a random sample of 125 residents, 2 have the flu. Predict the number of residents of the town who have the flu.
A. 400
B. 20
C. 200
D. 40

Answers

Answer:

20

Step-by-step explanation:

40 is  the number of residents of the town who have the flu.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

A small town has 2,500 residents.

In a random sample of 125 residents, 2 have the flu.

i.e. in 2500 residents have flu = 2500*2/125

                                                  =5000/125

                                                  =40

Hence, 40 is  the number of residents of the town who have the flu.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

there are between 24 and 40 students in a class. give the ratio of boys to girls

I will give you 50 points!!!!!!!

Answers

Answer:

1:1.66

Step-by-step explanation:

you can round it up to 1:1.7 if that's what your teacher says

Answer:

33 students

If you divided the class into groups with 4 boys and 7 girls in each group, there will be 11 students in each group.

The total number of students in the class therefore must be a multiple of 11.

The only multiple of 11 between 24 and 40 is 33.

There are therefore 33 students.

4/11×33=12 are boys and 7/11×33=21are girls.

12:21= 4:7

hope it helps you

please mark me as brainlist

Can someone please help me find the area.

Answers

Answer:

51 ft²

Step-by-step explanation:

The figure is composed of two different triangles (triangle 1 and 2) and a rectangle

Area of the composite figure = area of triangle 1 + area of triangle 2 + area of rectangle

✔️Area of triangle 1 = ½*bh

b = 3 ft

h = 2 ft

Area of triangle 1 = ½*3*2 = 3 ft²

✔️Area of triangle 2 = ½bh

b = 3 ft

h = 3 ft

Area of triangle 2 = ½*3*3 = 4.5 ft²

✔️Area of rectangle = L*W

L = 3 + 8 = 11 ft

W = 4 ft

Area of rectangle = 11*4 = 44 ft²

✅Area of the composite figure = 3 + 4 + 44

= 51 ft²

If sinθ = a, then cscθ =

1/a
a
1

Answers

Answer:

[tex]\csc\theta=\dfrac{1}{a}[/tex]

Step-by-step explanation:

Given that,

[tex]\sin\theta=a[/tex]

We need to find the value of [tex]\csc\theta[/tex].

We know that, the relation is given as follows :

[tex]\sin\theta=\dfrac{1}{\csc\theta}\\\\\csc\theta=\dfrac{1}{\sin \theta}[/tex]

Put [tex]\sin\theta=a[/tex]

So,

[tex]\csc\theta=\dfrac{1}{a}[/tex]

So, the answer is equal to [tex]\dfrac{1}{a}[/tex].

help please help please

Answers

Step-by-step explanation:

first choice

ggiteesxdgcJ gray y atcha

A circle has a radius of 5 centimeters. What is its area?

Answers

Answer:

[tex] \bf \huge 78.5 \: c.m.[/tex]

Step-by-step explanation:

Given that :

A circle has a radius of 5 centimeters.

to find :

What is its area?

formulas used :

A = πr²

where,

A = areaπ = 22/7 r = radius

explanation :

finding the area of circle

⟼ A = πr²

⟼ A = 22/7 × 5²

⟼ A = 22/7 × 5 × 5

⟼ A = 3•14 × 5 × 5

⟼ A = 3•14 × 25

⟼ A = 78•5

the area of circle is 78•5 centimeters

the area is 78.5 cm because the formula is A=3.14r^2 or area=3.14•5^2

plz help no links or you will get reported and no brainlest meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

49

Step-by-step explanation: no idea i just evaluated like that

Answer:

49

Step-by-step explanation:

Alrighty, PEMDAS, lets get started:

9 + 3(10 ÷ 2) + 5²

So we start with the parenthesis:

10 ÷ 2 = 5

Now we do the exponent:

5² = 25

So we now have:

9 + 3 x 5 + 25

we do multiplication first:

3 x 5 = 15

so we have:

9 + 15 + 25 = 49

So 9 + 3(10 ÷ 2) + 5² = 49

hope this helps:)

Which of the following fractions is closest to 0? 1 point 05/12 0 2/3 O 5/6 O 3/4​

Answers

Answer:

I think 2/3

Step-by-step explanation:

sorry if I'm wrong

Answer:

5/12

Step-by-step explanation:

All the others are more than 1/2. This is the only one that is less than half.

The diameter of a pizza is 45 inches. What is the area of where we would be able to put all ingredients
on top of the pizza?

Answers

Answer:

the area of the pizza is 1590.43 in. :)

Step-by-step explanation:

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