Answer:
[tex]f^{-1}[/tex] (x ) = [tex]\frac{x+6}{5}[/tex]
Step-by-step explanation:
Let y = f(x) and rearrange making x the subject, that is
y = 5x - 6 ( add 6 to both sides )
y + 6 = 5x ( divide both sides by 5 )
x = [tex]\frac{y+6}{5}[/tex]
Change y back into terms of x
[tex]f^{-1}[/tex] (x ) = [tex]\frac{x+6}{5}[/tex]