relationship between the graph of a function and its inverse function

Question

whats the relationship between the graph of a function and its inverse function

Answer 1

If f(a) = b, then (a,b) is a point on the graph of y = f(x).                                              Also, f^-1(b) = a, so (b,a) is a point on the graph of y = f^-1(x).  

 

The graph of y = f^-1(x) is the reflection of the graph of y = f(x) in the line

y = x.