Answer:
f^-1(x) = 1/5 x
Step-by-step explanation:
y = 5x
Exchange x and y to find the inverse
x = 5y
Solve for y
1/5x = y
The inverse is 1/5x
[tex]\Large \boxed{f^{-1}(x)=\frac{x}{5} }[/tex]
f(x) = 5x
Replace f(x) with y.
Switch variables.
Divide both sides by 5.
[tex]\frac{x}{5} =y[/tex]
