Question

How do you find the inverse of `f(x) = ln(5x)`?

Answer 1

`f^(-1)(x) = e^y/5`

Explanation:

`" "`
`y = ln5x`
`" "`
`rArr e ^ y = e^ ln (5x)`
`" "`
`rArr e^ y = 5x`
`" "`
`rArr e^y/5 = x`

Hence, `f^(-1)(x) = e^y/5`