Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{x}{5}[/tex]
Step-by-step explanation:
let y = f(x), that is
y = 5x ← swap the variables and solve for y
x = 5y ← divide both sides by 5
y = [tex]\frac{x}{5}[/tex], hence
[tex]f^{-1}[/tex](x) = [tex]\frac{x}{5}[/tex]