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How are the graphs of a function and its inverse related?

Let's take a look at the graphs of the function f(x) = 2x + 1 and its inverse function f\(\small\mathsf{ ^{-1} }\)(x) = \(\small\mathsf{ \frac{(x - 1)}{2} }\).

      f(x) = \(\small\mathsf{ \frac{(x - 1)}{2} }\)

      f(x) = 2x + 1

Note that the equation of the dashed line is       f(x) = x.

The two graphs are reflections of each other with the line f(x) = x as the mirror!