Answer:
[tex]f^{-1}[/tex] (x) = [tex]\frac{x-5}{3}[/tex]
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 )
[tex]\frac{y-5}{3}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = [tex]\frac{x-5}{3}[/tex]
