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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. 360E (page 832)

In the following exercises,evaluate each function.
$g (x) = \sqrt[3]{7 x - 1}$ , find
(a) $g (4)$
(b) $g (- 1)$

Short Answer

Expert verified

Part (a) $g (4) = 3$

Part (b) $g (- 1) = - 2$

Step by step solution

01

Part (a) Step 1: Given information

The function $g (x) = \sqrt[3]{7 x - 1}$

02

Part (a) Step 2: Find the value g4.

Substitute 4 for x into the given function and simplify.

$g (4) = \sqrt[3]{7 (4) - 1} = \sqrt[3]{28 - 1} = \sqrt[3]{27} = 3$

03

Part (b) Step 1: find the value g-1.

Substitute -1 for x into the given function and simplify.

$g (- 1) = \sqrt[3]{7 (- 1) - 1} = \sqrt[3]{- 7 - 1} = \sqrt[3]{- 8} = - 2$

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Most popular questions from this chapter

In the following exercises, use the Product Property to simplify radical expressions a $\sqrt[4]{3125}$ , b. $\sqrt[3]{81}$

Why is there no real number equal to $\sqrt{- 64}$ ?

In the following exercises, simplify using absolute value signs as needed. $\sqrt{96 r^{3} s^{3}}, \sqrt[3]{80 x^{7} y^{6}}, \sqrt[4]{80 x^{8} y^{9}}$

In the following exercises, simplify using absolute value signs as needed. $\sqrt{125 r^{13}}, \sqrt[3]{108 x^{5}}, \sqrt[4]{48 y^{6}}$

Simplify-

(a) $\sqrt{288}$

(b) $\sqrt[3]{81}$

(c) $\sqrt[4]{64}$

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