Question

A(x) = 5x^1/5-2Find the inverse

Answer 1

For this type of question, first, we set the following equation:

`y=5x^{(1)/(5)}-2`

Then, we exchange y and x:

`x=5y^{(1)/(5)}-2`

Now, we solve the above equation for y:

`\begin{gathered} x+2=5y^{(1)/(5)} \\ y^{(1)/(5)}=(x+2)/(5) \\ y=((x+2)/(5))^5 \end{gathered}`

Answer:

`A^(-1)(x)=((x+2)/(5))^5`