Question

What is the inverse of the function f(x) = 2x - 10? A-. h(x) = 2x-5

B-. h(x) = 2x+5
C -. h(x) = 1/2x-5
D-. h(x) = 1/2x+5

need answer fast please​

Answer 1

D

Explanation:

let y = f(x) and rearrange making x the subject

y = 2x - 10 ( add 10 to both sides )

y + 10 = 2x ( divide both sides by 2 )

`(y+10)/(2)` = x

Change y back into terms of x with x =
`f^(-1)` (x) , then

`f^(-1)` (x) =
`(x+10)/(2)` =
`(1)/(2)` x + 5 → D