Question

Please help as soon as possible

Find the inverse of the given function.

f(x) = -1/2√x + 3, x ≥ -3

Answer 1

To solve this problem you must apply the proccedure shown below:

You must switch the variables, and then, you must solve for
`y`, as following:

`x=-(1)/(2) √(y) +3\\ (x-3)^(2) = ((1)/(2)√(y))^(2) \\ y=4x^(2) -24x+36\\ f^(-1) (x)=4x^(2) -24x+36`

Therefore, as you can see, the answer is:
`f^(-1) (x)= 4x^(2) -24x+36`