Answer:
[tex]g^{-1}[/tex] (x) = 8x + 48
Step-by-step explanation:
let y = g(x) and rearrange making x the subject, that is
y = [tex]\frac{x}{8}[/tex] - 6 ( add 6 to both sides )
y + 6 = [tex]\frac{x}{8}[/tex] ( multiply both sides by 8 )
8(y + 6) = x , distribute
8y + 48 = x
Change y back into terms of x with x = [tex]g^{-1}[/tex] (x) , thus
[tex]g^{-1}[/tex] (x) = 8x + 48
