Inverses of Square root functions

Find the inverse of the square root parent function

$$f\left(x\right)=\sqrt[]{x}$$

make sure to use proper notation

What should the domain restriction be for the graph of $$f^{-1}\left(x\right)=x^2$$

Find the inverse function of $$f\left(x\right)=\sqrt{x+11}$$  

What is the domain restriction for the inverse of the square root function $$f\left(x\right)=\sqrt{x+11}$$  

What is the domain restriction for the inverse of the square root function

$$f\left(x\right)=\sqrt{x}-6$$  

Find the inverse of $$f\left(x\right)=\sqrt{x+2}+9$$  

What is the domain restriction for the inverse of the square root function $$f\left(x\right)=\sqrt{x+2}+9$$  

Find the inverse function of $$f\left(x\right)=\sqrt{-5x}$$  

What is the domain restriction for the inverse of the square root function $$f\left(x\right)=\sqrt{-5x}$$  

What is the domain restriction for the inverse of the square root function $$f\left(x\right)=-\sqrt{-5x}$$