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1 of 8 0-day streak

Lesson Practice

Find the maximal domain of an algebraic function

DIFFICULTYintro standard challenge exam

QUESTION TYPEMix of allChange

Linear denominator Linear square-root radicand NOWMix of allRecommended

Question 1 of 8

No calculator

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

h(u)=\sqrt{-3\left(u-3\right)}

(a)1 mark

What domain restriction is contributed by the square-root radicand \(-3\left(u-3\right)\)?

u\in\left(-\infty,\;3\right]

u\in\left(-\infty,\;3\right)

(b)1 mark

Which statement gives the natural domain of h?

u\in\left[3,\;\infty\right)

u\in\mathbb{R}

u\in\left(-\infty,\;3\right)

u\in\left(-\infty,\;3\right]