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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 1: Q16. (page 49)

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

Short Answer

Expert verified

The function value at $x = 鈭� 4 t$ is $4 (4 t^{2} 鈭� 1)$ .

Step by step solution

01

Step 1. Interpreting of function.

$g (鈭� 4 t)$ Indicates the value of function $g (x)$ at $x = 鈭� 4 t$

02

Step 2. Apply substitution method.

Substitute $x = 鈭� 4 t$ into the function $g (x)$

03

Step 3. Calculation.

The function value at $x = 鈭� 4 t$ is calculated as follows:

$\begin{array}{l} g (鈭� 4 t) = {(鈭� 4 t)}^{2} 鈭� 4 \\ g (鈭� 4 t) = 16 t^{2} 鈭� 4 \\ g (鈭� 4 t) = 4 (4 t^{2} 鈭� 1) \end{array}$

Thus, the function value at $x = 鈭� 4 t$ is $4 (4 t^{2} 鈭� 1)$ .

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