Chapter 3: Q. 318 (page 327)

In the following exercises, evaluate the function:
$a . g (h^{2}) b . g (x + 2) c . g (x) + g (2)$
Function: $g (x) = - 8 x + 2$

Short Answer

Expert verified

For the function, $g (x) = - 8 x + 2,$ we have,

$a . g (h^{2}) = - 8 h^{2} + 2 b . g (x + 2) = - 8 x - 14 c . g (x) + g (2) = - 8 x - 12$

Step by step solution

. Given Information

The given function is $g (x) = - 8 x + 2$

Part (a) Step 1. Evaluating g(h2).

To evaluate $g (h^{2}),$ substitute $h^{2}$ for role="math" $x .$

$g (h^{2}) = - 8 (h^{2}) + 2 g (h^{2}) = - 8 h^{2} + 2$

Therefore, $g (h^{2}) = - 8 h^{2} + 2$

Part (b) Step 1. Evaluating g(x+2).

To evaluate $g (x + 2),$ substitute $x + 2$ for role="math" $x .$

$g (x + 2) = - 8 (x + 2) + 2 g (x + 2) = - 8 x - 16 + 2 g (x + 2) = - 8 x - 14$

Therefore, $g (x + 2) = - 8 x - 14$ .

Part (c) Step 1. Evaluating g(x)+g(2).

To evaluate $g (x) + g (2),$ first find $g (2)$ .

To find $g (2),$ substitute $2$ for $x .$

$g (2) = - 8 (2) + 2 g (2) = - 16 + 2 g (2) = - 14$

Now find $g (x) + g (2)$ .

$g (x) + g (2) = - 8 x + 2 + (- 14) g (x) + g (2) = - 8 x + 2 - 14 g (x) + g (2) = - 8 x - 12$

Therefore, $g (x) + g (2) = - 8 x - 12 .$

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In the following exercises, evaluate the function:
$a . g (h^{2}) b . g (x + 2) c . g (x) + g (2)$
Function: $g (x) = - 8 x + 2$

Short Answer

Step by step solution

. Given Information

Part (a) Step 1. Evaluating g(h2).

Part (b) Step 1. Evaluating g(x+2).

Part (c) Step 1. Evaluating g(x)+g(2).

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In the following exercises, evaluate the function:a.g(h2)b.g(x+2)c.g(x)+g(2)Function:g(x)=-8x+2

Short Answer

Step by step solution

. Given Information

Part (a) Step 1. Evaluating g(h2).

Part (b) Step 1. Evaluating g(x+2).

Part (c) Step 1. Evaluating g(x)+g(2).

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Pure Maths

Applied Mathematics

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Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, evaluate the function:
$a . g (h^{2}) b . g (x + 2) c . g (x) + g (2)$
Function: $g (x) = - 8 x + 2$