Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{x+2}{5}[/tex]
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 )
[tex]\frac{y+2}{5}[/tex] = x
Change y back into terms of x
[tex]f^{-1}[/tex] (x) = [tex]\frac{x+2}{5}[/tex]
