If and is its inverse

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

If g(x)=3xg(x)=3^{x} and hh is its inverse, which of the following correctly states the domain and range of hh? (a) Domain (0,∞)(0,\infty), Range (0,∞)(0,\infty) (b) Domain (0,∞)(0,\infty), Range R\mathbb R (c) Domain R\mathbb R, Range (0,∞)(0,\infty) (d) Domain [0,∞)[0,\infty), Range R\mathbb R

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