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Chapter 4: Q49. (page 158)

Find each value if $f (x) = x^{2} - 3 x + 2$ .
$f (- 3)$

Short Answer

Expert verified

The value of $f (- 3)$ is 20.

Step by step solution

01

– Description of step.

Compare $f (- 3)$ to $f (x)$ .

By comparing $f (- 3)$ to $f (x)$ , it can be concluded that the value of $x$ is $- 3$ .

02

– Description of step.

Substitute $- 3$ for $x$ into $f (x) = x^{2} - 3 x + 2$ .

$f (- 3) = {(- 3)}^{2} - 3 (- 3) + 2$

03

– Description of step.

Simplify the equation obtained in step 2 to find the value of $f (- 3)$ .

$\begin{matrix} f (- 3) = 9 + 9 + 2 \\ = 18 + 2 \\ = 20 \end{matrix}$

Therefore, the value of $f (- 3)$ is 20.

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Most popular questions from this chapter

Determine whether each matrix product is defined. If so, state the dimensions of the product. $A_{4 \times 3} \cdot B_{3 \times 2}$

Use matrices $A$ , $B$ , $C$ and $D$ to find the following.

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