Define by . Which option represents…

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

Problem

Define g:(2,∞)→Rg:(2,\infty)\to \mathbb{R} by g(x)=3log⁡2(x−2)+4g(x)=3\log_{2}(x-2)+4. Which option represents g−1(x)g^{-1}(x)? (a) 2+2(x+4)/32+2^{(x+4)/3} (b) 2+2(x−4)/32+2^{(x-4)/3} (c) 4+2(x−4)/34+2^{(x-4)/3} (d) 2+3(x−4)/22+3^{(x-4)/2}

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