Question

If f(x) = square root x+3, what is the equation for f-1(x)

Answer 1

Answer:
`f^(-1)(x)=x^2-3`

Explanation:

Given the function f(x):

`f(x)=√(x+3)`

You need to follow these steps in order to find
`f^(-1)(x)`:

- Rewrite the function with
`f(x)=y`:

`y=√(x+3)`

- Solve for "x":

`(y)^2=(√(x+3))^2\\\\y^2=x+3\\\\x=y^2-3`

- Exchange the variables:

`y=x^2-3`

- Rewrite the function with
`y=f^(-1)(x)`:

`f^(-1)(x)=x^2-3`