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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q.361E (page 832)

In the following exercises,evaluate each function.
$h (x) = \sqrt[3]{x^{2} - 4}$ , find:
(a) $h (- 2)$
(b) $h (6)$

Short Answer

Expert verified

Part (a) $h (- 2) = 0$

Part (b) $h (6) = 2 \sqrt[3]{4}$

Step by step solution

01

Part (a) Step 1: Given information.

The function $h (x) = \sqrt[3]{x^{2} - 4}$

02

Part (a) Step 2: Find the value h-2.

Substitute -2 for xinto the given function and simplify.

$h (- 2) = \sqrt[3]{{(- 2)}^{2} - 4} = \sqrt[3]{4 - 4} = 0$

03

Part (b) Step 1: Find the value h6.

Substitute 6 for x into the given function and simplify.

$h (6) = \sqrt[3]{{(6)}^{2} - 4} = \sqrt[3]{36 - 4} = \sqrt[3]{32} = 2 \sqrt[3]{4}$

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