Question

Which function represents the inverse of function fbelow?
f(x) = 3 x + 5​

Answer 1

Answer:

$f^{-1}$ (x) = $\frac{x-5}{3}$

Step-by-step explanation:

let y = f(x) then rearrange making x the subject , that is

y = 3x + 5 ( subtract 5 from both sides )

y - 5 = 3x ( divide both sides by 3 )

$\frac{y-5}{3}$ = x

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

$f^{-1}$ (x) = $\frac{x-5}{3}$