1 of 8 0-day streak

Find the maximal domain of an algebraic function

Question 1 of 8

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Let \(g(x)\) be the function defined by

g(x)=\frac{1}{\left(x\right)}

(a)1 mark

What domain restriction is contributed by the denominator \(\left(x\right)\)?

x\in\left(-\infty,\;0\right)\;\cup\;\left(0,\;\infty\right)

x\in\mathbb{R}

x\in\left(-\infty,\;1\right)\;\cup\;\left(1,\;\infty\right)

(b)1 mark

Choose the domain that satisfies every restriction in the definition of g

x\in\left(-\infty,\;0\right)\;\cup\;\left(0,\;1\right)\;\cup\;\left(1,\;\infty\right)

x\in\left(-\infty,\;1\right)\;\cup\;\left(1,\;\infty\right)

x\in\left(-\infty,\;0\right)\;\cup\;\left(0,\;\infty\right)

x\in\mathbb{R}