Question

Suppose that a function does have an inverse. The graph of its inverse will be the reflection of the graph of the function over which of the following? Choose only one correct answer.

the x-axis
the y-axis
the x- and y-axes
the line y = x

Answer 1

The Answer to this problem is (the line y=x). I'm positive that this is the right answer!!!

Answer 2

The graph of its inverse will be the reflection of the graph of the function over:

The line y=x.

Explanation:

If we are asked to graph the graph of a function f(x) and it's inverse g(x) we just need to graph the function f(x) and then we have to switch the values of x and y in each point to graph it's inverse since a inverse function is one in which the range becomes the domain and domain becomes the range.

Hence, Just look at all those values switching places from the f(x) function to its inverse g(x) (and back again), reflected over the line y = x.