Mathematics

Mathematics

Problem

For the function g(x)=x+4+1x−1g(x)=\sqrt{x+4}+\dfrac{1}{x-1}, which one of the following sets represents its domain? a) {x∈R∣x≥−4, x≠1}\{x\in\mathbb R\mid x\ge -4,\,x\neq 1\} b) {x∈R∣x>−4, x≠1}\{x\in\mathbb R\mid x>-4,\,x\neq 1\} c) {x∈R∣x>1}\{x\in\mathbb R\mid x>1\} d) {x∈R∣x≥−4}\{x\in\mathbb R\mid x\ge -4\}

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