Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{x-5}{4}[/tex]
Step-by-step explanation:
let y = f(x) and rearrange making x the subject.
y = 4x + 5 ( subtract 5 from both sides )
y - 5 = 4x ( divide both sides by 4 )
[tex]\frac{y-5}{4}[/tex] = x
Change y back into terms of x
[tex]f^{-1}[/tex](x) = [tex]\frac{x-5}{4}[/tex]
