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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. 351 (page 832)

In the following exercises, evaluate each function.
$f (x) = \sqrt{4 x - 4} (a) f (5) (b) f (0)$

Short Answer

Expert verified

The value of the function is

(a) $f (5) = 4$

(b) $f (0) = 2 i$

Step by step solution

01

Step 1. Given Information

$f (x) = \sqrt{4 x - 4}$

We have to find $f (5)$ and $f (0) .$

02

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

$f (5) = \sqrt{4 脳 5 - 4} = \sqrt{16} = 4$

03

Part (b) Step 1. Replace x=0 in the given function

$f (0) = \sqrt{4 脳 0 - 4} = \sqrt{- 4} f (0) = 2 \sqrt{- 1} = 2 i$

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Most popular questions from this chapter

In the following exercises, solve.

$\sqrt{6 v - 2} - 10 = 0$

Use the Quotient Property to simplify square roots.

(a) $\sqrt{\frac{75 r^{9}}{s^{8}}}$

(b) $\sqrt[3]{\frac{54 a^{8}}{b^{3}}}$

(c) $\sqrt[4]{\frac{64 c^{5}}{d^{4}}}$

Use the Quotient Property to simplify square roots.

(a) $\frac{\sqrt{80 q^{5}}}{\sqrt{5 q}}$

(b) $\frac{\sqrt[3]{- 625}}{\sqrt[3]{5}}$

(c) $\frac{\sqrt[4]{80 m^{7}}}{\sqrt[4]{5 m}}$

Explain how you know that

$\sqrt[5]{x^{10}} = x^{2}$

Use the Quotient Property to simplify square roots.

$\sqrt{\frac{28 q^{6}}{225}}$

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