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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 \(h(x)\) be the function defined by

h(x)=\sqrt{2\left(x-2\right)}

(a)1 mark

What domain restriction is contributed by the square-root radicand \(2\left(x-2\right)\)?

x\in\left[2,\;\infty\right)

x\in\left(2,\;\infty\right)

(b)1 mark

Which domain statement is consistent with all operations in h?

x\in\mathbb{R}

x\in\left(-\infty,\;2\right]

x\in\left(2,\;\infty\right)

x\in\left[2,\;\infty\right)