The point (–1, 0.5) lies on the graph of f –1(x) = 2x. Based on this information, which point lies on the graph of f(x) = log2x?

The functions f(x) = log₂x and f⁻¹(x) = 2ˣ are inverses, so their graphs are reflections across the line y = x. Reflecting (−1, 0.5) means switching its coordinates, giving (0.5, −1). Therefore, (0.5, −1), choice B, lies on the graph of f(x) = log₂x.

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