Chapter 3: Q. 319 (page 327)

In the following exercises, evaluate the function:
$a . g (h^{2}) b . g (x + 2) c . g (x) + g (2)$
Function: $g (x) = 3 - x$

Short Answer

Expert verified

For the function $g (x) = 3 - x,$ we have,

$a . g (h^{2}) = 3 - h^{2} b . g (x + 2) = 1 - x c . g (x) + g (2) = 4 - x$

Step by step solution

Step 1. Given Information

The given function is $g (x) = 3 - x$ .

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

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

role="math" $g (h^{2}) = 3 - (h^{2}) g (h^{2}) = 3 - h^{2}$

Therefore, $g (h^{2}) = 3 - h^{2}$

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

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

role="math" $g (x + 2) = 3 - (x + 2) g (x + 2) = 3 - x - 2 g (x + 2) = 1 - x$

Therefore, $g (x + 2) = 1 - x$ .

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

To evaluate $g (x) + g (2)$ first find role="math" $g (2)$

$g (2) = 3 - 2 g (2) = 1$

Now find role="math" $g (x) + g (2)$

role="math" $g (x) + g (2) = 3 - x + 1 g (x) + g (2) = 4 - x$

Therefore, $g (x) + g (2) = 4 - x$ .

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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: $g (x) = 3 - x$

Short Answer

Step by step solution

Step 1. 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)=3-x

Short Answer

Step by step solution

Step 1. 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

Logic and Functions

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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: $g (x) = 3 - x$