Q. 5.18 聽For the function聽g(x)=5x2-x-4... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 5.18 (page 493)

$For the function g (x) = 5 x^{2} - x - 4, find (a) g (- 2) (b) g (- 1) (c) g (0) .$

Short Answer

Expert verified

The value of f(x) for each part is

鈸� 20

鈸� 2

鈸� 鈭�4

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenfunctionis g (x) = 5 x^{2} 鈭� x 鈭� 4, \\ Wehavetofind(a) g (鈭� 2) (b) g (鈭� 1) (c) g (0) . \end{array}$

Step 2. Substitute x=−2 in gx

$\begin{array}{l} Wehave g (x) = 5 x^{2} 鈭� x 鈭� 4 \\ At x = 鈭� 2, wehave \\ 鈬� g (鈭� 2) = 5 {(鈭� 2)}^{2} 鈭� (鈭� 2) 鈭� 4 \\ = 5 (4) + 4 鈭� 4 \\ = 20 + 4 鈭� 4 \\ = 20 \end{array}$

Step 3. Substitute x=−1 in gx

$\begin{array}{l} Wehave g (x) = 5 x^{2} 鈭� x 鈭� 4 \\ At x = 鈭� 1, wehave \\ 鈬� g (鈭� 1) = 5 {(鈭� 1)}^{2} 鈭� (鈭� 1) 鈭� 4 \\ = 5 (1) + 1 鈭� 4 \\ = 5 + 1 鈭� 4 \\ = 2 \end{array}$

Step 4. Substitute x=0 in gx

$\begin{array}{l} Wehave g (x) = 5 x^{2} 鈭� x 鈭� 4 \\ At x = 0, wehave \\ 鈬� g (0) = 5 {(0)}^{2} 鈭� (0) 鈭� 4 \\ = 5 (0) + 0 鈭� 4 \\ = 0 + 0 鈭� 4 \\ = 鈭� 4 \end{array}$

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91影视

$For the function g (x) = 5 x^{2} - x - 4, find (a) g (- 2) (b) g (- 1) (c) g (0) .$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Substitute x=−2 in gx

Step 3. Substitute x=−1 in gx

Step 4. Substitute x=0 in gx

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91影视

For the functiong(x)=5x2-x-4,find (a)g(-2)(b)g(-1)(c)g(0).

Short Answer

Step by step solution

Step 1. Given information

Step 2. Substitute x=−2 in gx

Step 3. Substitute x=−1 in gx

Step 4. Substitute x=0 in gx

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Geometry

Calculus

Probability and Statistics

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

$For the function g (x) = 5 x^{2} - x - 4, find (a) g (- 2) (b) g (- 1) (c) g (0) .$