Let and . Determine the domain of the product function…

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

Problem

Let f(x)=x2+1f(x)=x^{2}+1 and g(x)=x−3g(x)=\sqrt{x-3}. Determine the domain of the product function (f g)(x)(f\,g)(x). (a) (3,∞)(3,\infty) (b) [0,∞)[0,\infty) (c) [3,∞)[3,\infty) (d) (−∞,3](-\infty,3]

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