Chapter 1: Q42. (page 50)

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

Short Answer

Expert verified

The function value at $x = r + 2$ is $- 2 r - 7$

Step by step solution

Step 1. Interpreting of function.

$f (r + 2)$ Indicates the value of function $f (x)$ at $x = r + 2$

Step 2. Apply substitution method.

Substitute $x = r + 2$ into the function $f (x)$

$f (r + 2) = - 2 (r + 2) - 3$

Step 3. Further calculation:

$\begin{array}{l} f (r + 2) = - 2 (r + 2) - 3 \\ f (r + 2) = - 2 r - 4 - 3 \\ f (r + 2) = - 2 r - 7 \end{array}$

Thus, the function value at $x = r + 2$ is $- 2 r - 7$

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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)
$f (r + 2)$

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)f(r+2)

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

Theoretical and Mathematical Physics

Statistics

Probability and Statistics

Mechanics Maths

Pure Maths

Applied Mathematics

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)
$f (r + 2)$