Question

If g(x) and f(x) are inverse functions, which graph represents g(x)?

Answer 1

When g(x) and f(x) are inverse functions, the graph that represents g(x) is the second graph.

How to explain the graph?

It should be noted that the first graph shows the radical expression where, f(x) = ✓x.

In order to find the inverse, we need to replace f(x) with y and switch the x. This will be:

x = ✓y

(✓y)² = x².

y = g(x) = x²

Therefore, the graph that shows the exponential growth is the second graph.

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