Question

The inverse of f(x)=sqrt 2x-3+2

Answer 1

The inverse of a function is when you switch the variables and solve for y again. For example, you function

`y = √(2x - 3) + 2`

`x = √(2y - 3) + 2`
Now solve for y

`√(2y - 3) = x - 2`

`2y - 3 = ({x - 2})^(2)`

`2y = {(x - 2)}^(2) + 3`

`y = \frac{{(x - 2)}^(2) + 3}{2}`