Question

Find the inverse of the function `f(x)=ln(5x+1)-6`?

Answer 1

Inverse of `ln(5x+1)-6" "` is `" "(e^((x+6))-1)/5`

Explanation:

Let `y=f(x)=ln(5x+1)-6`

Hence, `ln(5x+1)=y+6`

or `5x+1=e^((y+6))`

or `x=(e^((y+6))-1)/5`

Hence, inverse of `ln(5x+1)-6`

is `(e^((x+6))-1)/5`