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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. 8.138 (page 827)

For the function $h (x) = \sqrt[3]{5 x - 2}$ find (a) h(2) (b) h(鈭�5).

Short Answer

Expert verified

The value of the function $(a) h (2) = 2 (b) h (- 5) = - 3$

Step by step solution

01

Step 1. Given information

$h (x) = \sqrt[3]{5 x - 2}$

To find $h (2)$ and $h (- 5)$ ,

02

Part (a) Step 1. Replace (a)x=2 and b x=-5 in the given function respectively

$h (2) = \sqrt[3]{5 (2) - 2} = \sqrt[3]{8} h (2) = \sqrt[3]{2 脳 2 脳 2} = 2$

03

Part (b) Step 1. Replace x=-5 in the given function

$h (- 5) = \sqrt[3]{5 (- 5) - 2} = \sqrt[3]{- 27} h (- 5) = - 3$

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Most popular questions from this chapter

Write as a radical expression:

(a) $t^{\frac{1}{2}}$

(b) $m^{\frac{1}{3}}$

(c) $r^{\frac{1}{4}}$

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a. ${(81 n^{\frac{2}{5}})}^{\frac{3}{2}}$ b. ${(a^{\frac{3}{2}} b^{\frac{1}{2}})}^{\frac{4}{3}}$

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