Skip to content

Home Path Worksheets Skill map Leaderboard

Sign in Save your progress

Search topicsCtrl K

Sign in Save your progress

Search

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 \(g(t)\) be the function defined by

g(t)=\sqrt{-2\left(t-\frac{1}{2}\right)}

(a)1 mark

What domain restriction is contributed by the square-root radicand \(-2\left(t-\frac{1}{2}\right)\)?

t\in\left(-\infty,\;\frac{1}{2}\right)

t\in\left(-\infty,\;\frac{1}{2}\right]

(b)1 mark

Which statement gives the natural domain of g?

t\in\mathbb{R}

t\in\left(-\infty,\;\frac{1}{2}\right]

t\in\left(-\infty,\;\frac{1}{2}\right)

t\in\left[\frac{1}{2},\;\infty\right)