Question

What is the inverse of f(x) = sqft x+ 3

Answer 1

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

Explanation:

Given the function

`f\left(x\right)=√(x+3)`

We can find the inverse function by exchanging x and y, and then solve for y.

`y=√(x+3)`

Replace x with y.

`x=√(y+3)`

square both sides

`x^2=y+3`

`y=x^2-3`

Hence,

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