For the function defined by

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

For the function h:R→(2,∞)h:\mathbb{R}\to(2,\infty) defined by h(x)=3x−1+2h(x)=3^{x-1}+2, which of the following is h−1(x)h^{-1}(x)? (a) 1+log⁡3(x)1+\log_3(x) (b) log⁡3(x−2)−1\log_3(x-2)-1 (c) 1+log⁡3(x−2)1+\log_3(x-2) (d) log⁡3(x−2)\log_3(x-2)

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