Question

Find the inverse of f(x) = sqrt -x + 2

Answer 1

`y=2 - x^(2)`

Explanation:

Your input: find the inverse of the function
`y=√(2 - x)`

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables:

`y=√(2 - x)`becomes
`x=√(2 - y)`

Now, solve the equation

`x=√(2 - y)` for y:

`y=2 - x^(2)`