Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{x+3}{4}[/tex]
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 4x - 3 ( add 3 to both sides )
y + 3 = 4x ( divide both sides by 4 )
[tex]\frac{y+3}{4}[/tex] = x
Change y back into terms of x
[tex]f^{-1}[/tex](x) = [tex]\frac{x+3}{4}[/tex]