Inverse Functions

If the point (-7,5) lies on the graph of f(x) , which of the following points must lie on the graph of its inverse?

The function y=f(x) has an inverse function  $y=f^{-1}\left(x\right)$  . If f(a)=-b then which of the following must be true?

The graph of the function y=g(x) is shown below. The value of

Which of the following functions would have an inverse that is also a function?

For a one-to-one function it is known that f(0)=6 and f(8)=0. Which of the following must be true about the graph of this function's inverse?

If the domain of y=h(x) is [-5,4] and its range is [-4,1], what is the domain of  $y=h^{-1}\left(x\right)$  ?

The function y=A(r)= $\pi r^2$  is a one-to-one function that uses a circle's radius as an input and gives the circle's area as its output. What is the value of  $A^{-1}\left(9\pi\right)\$  and  $A^{-1}\left(36\pi\right)$  , respectively. 

The original function's input was the circle's radius and the output was the circle's area. What is the input and output of the inverse function?