For , define and . The domain of…

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

Problem

For x∈R∖{−2}x\in\mathbb{R}\setminus\{-2\}, define f(x)=x−4x+2f(x)=\dfrac{x-4}{x+2} and g(x)=ln⁡xg(x)=\ln x. The domain of (g∘f)(x)(g\circ f)(x) is (a) (−2,∞)(-2,\infty) (b) (−∞,−2)∪(4,∞)(-\infty,-2)\cup(4,\infty) (c) (4,∞)(4,\infty) (d) (−2,4)(-2,4)

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