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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 1: Q19. (page 49)

Examples 4 and 5 If $f (x) = 6 x + 7$ and $g (x) = x^{2} - 4,$ find each value. (P. 49)
$g (- b)$

Short Answer

Expert verified

The value of the expression is $b^{2} - 4$

Step by step solution

01

Step 1. Interpreting of function g−b.

$g (- b)$ Indicates the value of function $g (x)$ at $x = - b$

02

Step 2. Apply substitution method.

Substitute $x = - b$ into the function $g (x)$

$g (- b) = {(- b)}^{2} - 4$

03

Step 3. Further calculation:

$g (- b) = b^{2} - 4$

Thus, the function value at $x = - b$ is $b^{2} - 4$ .

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