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Chapter 2: Q46. (page 61)

Find each value if $f (x) = 3 x - 5$ and $g (x) = x^{2} - x$ .
$f (- 3)$

Short Answer

Expert verified

The value of $f (- 3)$ is $- 14$ .

Step by step solution

01

– Select the correct function.

_{The given functions are:}

_{$\begin{array}{l} f (x) = 3 x 鈭� 5 \\ g (x) = x^{2} 鈭� x \end{array}$}

_{The required function for the value $f (- 3)$} is

f (x) = 3 x - 5

.

02

– Substitute the value in the selected function.

Substitute $x = - 3$ in the function $f (x)$ .

$f (- 3) = 3 (- 3) - 5$

03

– Calculate the value by simplification.

$\begin{array}{l} f (鈭� 3) = 3 (鈭� 3) 鈭� 5 \\ f (鈭� 3) = 鈭� 9 鈭� 5 \\ f (鈭� 3) = 鈭� 14 \end{array}$

Thus, the value of $f (- 3)$ is $- 14$ .

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