Mathematics High School

Find the inverse of the function f(x) = 2x - 4

Answers

Answer 1

The correct answer is f^-1(x)=1/2x+2.

1. Substitute y for f(x). ( y=2x+4 )

2. Interchange the variables x and y. ( x=2y-4 )

3. Swap the sides. ( 2y-4=x )

4. Move the constant to the right. ( 2y=x+4 )

5. Divide both sides by 2. ( y=1/2x+2 )

6. Use substitution to substitute f^-1(x) for y.

Thus the inverse is f^-1(x)=1/2x+2

Related Questions

Please Help?!
A lab technician needs to determine whether cells in a test tube are prokaryotic or eukaryotic. The technician has several dyes she could use to stain the cells. Four of the dyes are described below. Which dye should she use to determine if the cells are prokaryotic or eukaryotic?

Answers

Answer:

nile blue should be the correct answer

Step-by-step explanation:

A turtle is 20 5/6 inches below the surface of the pond. It dives to a depth of 32 1/4. What is the change of the turtles posistion. HELP ASAP PLEAS AND THEANK YOU!

Answers

Answer:

I believe it's 11

Step-by-step explanation:

Sorry if I'm wrong

The work shown is a way to derive Tangent (x + y) = StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction

What expressions go in the derivation of the tangent sum identity in place of A, B, and C?
Cos y cos x tan y sin x

Answers

Answer:

A: cos x

B: cos y

C: tan y

Step-by-step explanation:

The missing value of A, B and C are as follow:

A: cos x

B: cos y

C: tan y

What is Trigonometry?

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

sin (x-y)/ cos (x- y)

Step 2:

= sin x cos y + cos x sin y / cos x cos y - sin x sin y

Step 3:

= (sin x cos y + cos x sin y) / cos x cos y ÷ ( cos x cos y - sin x sin y ) / cos x cos y

step 4:

= sin x cos y/ cos x cos y + cos x sin y / cos x cos y ÷

  (cos x cos y / cos x cos y - sin x sin y / cos x cos y)

Step 5:

= tan x + tan y / 1- tan x tan y

Learn more about Trigonometry here:

https://brainly.com/question/29002217

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The balance scale shows the equation 2x + 3 = 2y + 5.
Which equation can be used to calculate x?
x = y + 2
x=y-2
x = y + 1
x = y -1

Answers

2x + 3 = 2y + 5, solve for x

2x = 2y + 2

x = y + 1

If p = 2 and q = 8, the value of p3 + V64 q ls____​

Answers

Answer:

518

Step-by-step explanation:

P = 2

Q = 8

p3 + 64q

Multiply "p" (which is 2) with 3

Multiply "q" (which is 8) with 8

Add the two numbers you get

And you have you answer

I hope this helps. :)

The answer I got was: {{ 2,8}}

Hope this helps, and happy holidays!!

6 divided by 2/3 = tell me thee answer in fraction form

Answers

Answer:

There wouldn't be a fraction form because its a whole number which is 9

Can you guys check these :) I’ll give brainleist :)

Answers

Answer:

9. No

10. Yes

Step-by-step explanation:

The first one is not, since you have (3, 3) and (3, 9).  In a function, each x maps to a single y.

The second one is since every x appears only once.

What is the least common multiple (LCM) of 3 and 5?

Answers

Answer:

the lcm of 3 and 5 is 15 I hope this helps

Step-by-step explanation:

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