Answer:
[tex]g^{-1}[/tex] (x) = [tex]\frac{x+11}{4}[/tex]
Step-by-step explanation:
let y = g(x) and rearrange making x the subject, that is
y = 4x - 11 ( add 11 to both sides )
y + 11 = 4x ( divide both sides by 4 )
[tex]\frac{y+11}{4}[/tex] = x
Change y back into terms of x , with x = [tex]g^{-1}[/tex] (x) , thus
[tex]g^{-1}[/tex](x) = [tex]\frac{x+11}{4}[/tex]
