Question

Solve 32 and graph MAKE SURE TO ACCOUNT FOR INEQUALITY

Answer 1

Given

`f(x)=x^2+4\text{ for x}\ge0`

The inverse is

`\begin{gathered} f(x)=x^2+4 \\ replace\text{ f\lparen x\rparen with y} \\ y=x^2+4 \\ interchange\text{ x and y} \\ x=y^2+4 \\ solve\text{ for y} \\ y^2=x-4 \\ y=√(x-4) \\ f^(-1)(x)=\text{ }√(x-4) \end{gathered}`

`√(x-4)`

Solution