College algebra

Question

find the inverse function of f(x)=√x+2. State the domain and range of f(x)and f⁻¹(x).

Answer 1

You need to parenthesize properly, if the square root of the expression (x+2) is intended. 

 

note:  y ≥0 (range); domain x≥-2; these will become the domain & range restrictions (respectively) for the inverse function that we seek.

 

x = √(y+2) after interchange of x & y;

x² = y+2

y=x²-2 which is then relabeled f^-1_(x)