Let (f: R R ) be any function and let (g:(0, ) R )

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

Problem

Let f:R→Rf:\mathbb R\to\mathbb R be any function and let g:(0,∞)→Rg:(0,\infty)\to\mathbb R. Which of the following sets is the domain of the composite function g∘fg\circ f? (a) {x∈R∣g(x)>0}\{x\in\mathbb R\mid g(x)>0\} (b) {x∈R∣f(x)≥0}\{x\in\mathbb R\mid f(x)\ge 0\} (c) {x∈R∣f(x)>0}\{x\in\mathbb R\mid f(x)>0\} (d) R\mathbb R

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