Question

If f(x) = 5x, what is f^-1(x)

Answer 1

`\Large \boxed{f^(-1)(x)=(x)/(5) }`

Explanation:

f(x) = 5x

Replace f(x) with y.

y = 5x

Switch variables.

x = 5y

Divide both sides by 5.

`(x)/(5) =y`

Answer 2

f^-1(x) = 1/5 x

Explanation:

y = 5x

Exchange x and y to find the inverse

x = 5y

Solve for y

1/5x = y

The inverse is 1/5x