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

ⓐ 20

ⓑ 2

Step by step solution

Step 1. Given information

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

Step 2. Substitute x=−2 in gx

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

Step 3. Substitute x=−1 in gx

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

Step 4. Substitute x=0 in gx

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

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

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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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

Calculus

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Study anywhere. Anytime. Across all devices.

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