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Chapter 4: Q46. (page 158)

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

Short Answer

Expert verified

The value of $f (3)$ is 2.

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 $f (3)$ .

$\begin{matrix} f (3) = 9 - 9 + 2 \\ = 0 + 2 \\ = 2 \end{matrix}$

Therefore, the value of $f (3)$ is 2.

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