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

h(x)=\sqrt{\left(x+1\right)}

(a)1 mark

What domain restriction is contributed by the square-root radicand \(\left(x+1\right)\)?

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

x\in\left[-1,\;\infty\right)

(b)1 mark

Which domain statement is consistent with all operations in h?

x\in\left(-\infty,\;-1\right]

x\in\mathbb{R}

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

x\in\left[-1,\;\infty\right)