Answer:
[tex]f^{-1}[/tex] (x) = [tex]\frac{x-7}{6}[/tex]
Step-by-step explanation:
let y = f(x) , then rearrange making x the subject
y = 6x + 7 ( subtract 7 from both sides )
y - 7 = 6x ( divide both sides by 6 )
[tex]\frac{y-7}{6}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = [tex]\frac{x-7}{6}[/tex]
