Respuesta :

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]