Question

I would like to know how to answer this question.

Answer 1

Given:

`y=tan(5x)`

To find:

The inverse for the function.

Step-by-step explanation:

Let us swap the variables, we get

`x=tan(5y)`

Solve for y we get,

`\begin{gathered} tan^(-1)(x)=5y \\ (\tan^(-1)(x))/(5)=y \\ y=(\tan^(-1)(x))/(5) \end{gathered}`

Therefore, the inverse for the function is,

`(\tan^(-1)(x))/(5)`

Final answer:

The inverse for the function is,

`(\tan^(-1)(x))/(5)`