Question

If `y =sqrt(x -1)`, what is the inverse?

Answer 1

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

Explanation:

The inverse is obtained by switching the `x` and `y` values.

`y = sqrt(x -1) -> f^-1(x) -> x = sqrt(y - 1)`

Solve for `y`.

`x^2 = y- 1`

`y = x^2 + 1`

Hopefully this helps!