1 of 8 0-day streak

Find the maximal domain of an algebraic function

Question 1 of 8

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Let \(f(u)\) be the function defined by

f(u)=\frac{1}{3\left(u+2\right)}

(a)1 mark

What domain restriction is contributed by the denominator \(3\left(u+2\right)\)?

u\in\mathbb{R}

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

u\in\left(-\infty,\;-2\right)\;\cup\;\left(-2,\;\infty\right)

(b)1 mark

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

u\in\left(-\infty,\;-2\right)\;\cup\;\left(-2,\;\infty\right)

u\in\mathbb{R}

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

u\in\left(-\infty,\;-2\right)\;\cup\;\left(-2,\;-1\right)\;\cup\;\left(-1,\;\infty\right)