Let be defined by and be defined by

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let f:R→(0,∞)f:\mathbb R\to(0,\infty) be defined by f(x)=exf(x)=e^{x} and g:(0,∞)→Rg:(0,\infty)\to\mathbb R be defined by g(t)=ln⁡(5−t)g(t)=\ln(5-t). Find the domain of the composition g∘fg\circ f. (a) (ln⁡5,∞)(\ln 5,\infty) (b) (−∞,ln⁡5](-\infty,\ln 5] (c) (−∞,ln⁡5)(-\infty,\ln 5) (d) (−∞,5)(-\infty,5)

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