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Algebra (all content)

Unit 7: Lesson 23

Determining the domain of advanced functions (Algebra 2 level)

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Domain of advanced piecewise functions

CCSS.Math: HSF.IF.A.1

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h(x)=\begin{cases} \dfrac{3}{\sqrt{x-5}}&\text{if } x\geq5 \\ \\ \dfrac{3}{\sqrt{5-x}} & \text{if } x<5 \end{cases}

What is the domain of function h?

Choose 1 answer:

(Choice A)
left brace, x, \in, R, space, vertical bar, space, x, is greater than, 5, right brace
(Choice B)
left brace, x, \in, R, space, vertical bar, space, x, is less than, 5, right brace
(Choice C)
left brace, x, \in, R, space, right brace
(Choice D)
left brace, x, \in, R, space, vertical bar, space, x, does not equal, 5, right brace

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