Chapter 1: Q13. (page 49)

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

Short Answer

Expert verified

The function value at $f (- 3)$ is $6 r - 5$ .

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 $f (x)$

Step 3. Calculation.

The function value at $x = r - 2$ is calculated as follows:

$\begin{matrix} f (r - 2) = 6 (r - 2) + 7 \\ = 6 r - 12 + 7 \\ = 6 r - 5 \end{matrix}$

Thus, the function value at $x = r - 2$ is $6 r - 5$ .

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

Short Answer

Step by step solution

Step 1. Interpreting of function.

Step 2. Apply substitution method.

Step 3. Calculation.

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Examples 4 and 5 Iff(x)=6x+7 andg(x)=x2−4, find each value. (P. 49)f(r−2)

Short Answer

Step by step solution

Step 1. Interpreting of function.

Step 2. Apply substitution method.

Step 3. Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Logic and Functions

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

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