Question

What is the inverse of the function f(x) = 2x-10

Answer 1

Answer:

$f^{-1}$(x) = $\frac{x+10}{2}$

Step-by-step 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 )

$\frac{y+10}{2}$ = x

Change y back into terms of x, thus

$f^{-1}$(x) = $\frac{x+10}{2}$