Question

Find the inverse of f(x)=5x-2

Answer 1

Answer:

$f^{-1}$(x) = $\frac{x+2}{5}$

Step-by-step explanation:

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

y = 5x - 2 ( add 2 to both sides )

y + 2 = 5x ( divide both sides by 5 )

$\frac{y+2}{5}$ = x

Change y back into terms of x

$f^{-1}$ (x) = $\frac{x+2}{5}$