Answer:
[tex]f^{-1}[/tex] (x) = 2x + 12
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = [tex]\frac{1}{2}[/tex] x - 6 ( multiply through by 2 to clear the fraction )
2y = x - 12 ( add 12 to both sides )
2y + 12 = x
change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = 2x + 12
