Chapter 1: Q44. (page 50)

Examples 4 and 5 If $f (x) = - 2 x - 3$ and $g (x) = x^{2} + 5 x,$ find each value. (P. 50)
$3 [g (n)]$

Short Answer

Expert verified

The value of the function is $3 n (n + 5)$

Step by step solution

Step 1. Interpreting of function.

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

Step 2. Apply substitution method.

Substitute $x = n$ into the function $g (x)$

$\begin{array}{l} g (n) = {(n)}^{2} + 5 n \\ g (n) = n^{2} + 5 n \end{array}$

Step 3. Further calculation.

$\begin{array}{l} 3 [g (n)] = 3 [n^{2} + 5 n] \\ 3 [g (n)] = 3 n^{2} + 15 n \\ 3 [g (n)] = 3 n (n + 5) \end{array}$

Thus, the value of the function is $3 n (n + 5)$

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Examples 4 and 5 If $f (x) = - 2 x - 3$ and $g (x) = x^{2} + 5 x,$ find each value. (P. 50)
$3 [g (n)]$

Short Answer

Step by step solution

Step 1. Interpreting of function.

Step 2. Apply substitution method.

Step 3. Further calculation.

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Examples 4 and 5 Iff(x)=−2x−3 andg(x)=x2+5x, find each value. (P. 50)3[g(n)]

Short Answer

Step by step solution

Step 1. Interpreting of function.

Step 2. Apply substitution method.

Step 3. Further calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

Examples 4 and 5 If $f (x) = - 2 x - 3$ and $g (x) = x^{2} + 5 x,$ find each value. (P. 50)
$3 [g (n)]$