Chapter 8: Q. 554RE (page 855)

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

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

(b) $h (6) = \sqrt[3]{32}$

Step by step solution

part (a) Step 1 Given information

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

part (a) Step 2 Solution

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

part (b) Step 1 Given information

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

part (b) Step 2 Solution

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

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

Short Answer

Step by step solution

part (a) Step 1 Given information

part (a) Step 2 Solution

part (b) Step 1 Given information

part (b) Step 2 Solution

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In the following exercises, evaluate each function.h(x)=x2-43, find (a) h(-2)(b)h(6)

Short Answer

Step by step solution

part (a) Step 1 Given information

part (a) Step 2 Solution

part (b) Step 1 Given information

part (b) Step 2 Solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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