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

f(t)=\sqrt{\left(t+\frac{7}{3}\right)}

(a)1 mark

What domain restriction is contributed by the square-root radicand \(\left(t+\frac{7}{3}\right)\)?

t\in\left(-\frac{7}{3},\;\infty\right)

t\in\left[-\frac{7}{3},\;\infty\right)

(b)1 mark

Select the largest set of real inputs for which f is defined

t\in\left(-\frac{7}{3},\;\infty\right)

t\in\left[-\frac{7}{3},\;\infty\right)

t\in\mathbb{R}

t\in\left(-\infty,\;-\frac{7}{3}\right]