Consider the function defined by

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

Problem

Consider the function f:R→(5,∞)f:\mathbb{R}\to(5,\infty) defined by f(x)=ex+5f(x)=e^{x}+5. Which of the following expresses f−1(x)f^{-1}(x)? (a) f−1(x)=ln⁡(x)+5f^{-1}(x)=\ln(x)+5 (b) f−1(x)=ln⁡(x−5)f^{-1}(x)=\ln(x-5) (c) f−1(x)=ex−5f^{-1}(x)=e^{x}-5 (d) f−1(x)=ln⁡(x+5)f^{-1}(x)=\ln(x+5)

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