Which function is the inverse of

Question

asked May 16, 2024 83.0k views

2 Answers

ScottK · Answer 1 · 2024-05-17T12:56:54+0000

Given:-

To find:-

Answer:-

Let us take that ;

$\implies y = (18x+7)/(3) \\$

Now to find inverse, interchange x and y .

$\implies x = (18y+7)/(3) \\$

Now solve for y ,

$\implies 3x = 18y + 7\\$

Flip the sides,

$\implies 18y + 7 = 3x \\$

Subtract 7 on both sides,

$\implies 18y = 3x - 7 \\$

Divide both the sides by 18,

$\implies y =(3x-7)/(18) \\$

Finally substitute
y =f^(-1)(x)

$\implies \underline{\underline{ f^(-1)(x) = (3x-7)/(18)}}\\$

This is our required answer.

and we are done!

Asif Hameed · Answer 2 · 2024-05-22T19:25:23+0000

Answer:

(3x-7)/(18)

Explanation:

let y equal the expression, then rearrange making x the subject.

y =
(18x+7)/(3) ( multiply both sides by 3 )

3y = 18x + 7 ( subtract 7 from both sides )

3y - 7 = 18x ( isolate x by dividing both sides by 18 )

(3y-7)/(18) = x

change y back into terms of x with x being the inverse, that is

(3x-7)/(18) ← is the inverse