Let for all real

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let f(x)=exf(x)=e^{x} for all real xx, and define g(x)=f−1(f−1(x))g(x)=f^{-1}\bigl(f^{-1}(x)\bigr). Which of the following describes the domain of gg? (a) (0,∞)(0,\infty) (b) (1,∞)(1,\infty) (c) (e,∞)(e,\infty) (d) (1e,∞)\left(\dfrac{1}{e},\infty\right)

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