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