Question 7 of 10Given the function F(x), you can get a picture of the graph of its inverse F -1(x) by flipping the original graph of F(x) over the line _____.

The original graph of a function $F(x)$ and its inverse graph $F^{-1}(x)$ can be related through a geometric transformation. Specifically, to visualize the graph of the inverse function:

1. Reflection Over the Line: The graph of $F^{-1}(x)$ can be obtained by reflecting the graph of $F(x)$ over the line $y = x$.

This line acts as the axis of symmetry for the two graphs. Thus, each point $(a, b)$ on the graph of $F(x)$ corresponds to the point $(b, a)$ on the graph of $F^{-1}(x)$.

In summary, flipping the original graph of $F(x)$ over the line $y = x$ provides the graphical representation of its inverse function $F^{-1}(x)$.