Question

Question #cffe9

Answer 1

The inverse is `=root(5)(x-2)`

Explanation:

Let `y=x^5+2`

Then,

`x^5=y-2`

`x=root(5)(y-2)`

Therefore,

`f^-1(x)=root(5)(x-2)`

Verification

`f(f^-1(x))=f(root(5)(x-2))=(root(5)(x-2))^5+2`

`=x-2+2=x`