For and , determine the domain of the composite function…

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

Problem

For f(x)=1xf(x)=\dfrac{1}{x} and g(x)=x+4g(x)=\sqrt{x+4}, determine the domain of the composite function (f∘g)(x)(f\circ g)(x). (a) (0,∞)(0,\infty) (b) (−4,∞)(-4,\infty) (c) [−4,∞)[-4,\infty) (d) (−4,0)∪(0,∞)(-4,0)\cup(0,\infty)

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