Question

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$f(x) = \

$$\begin{cases} \\dfrac{x - 6}{3} &, \\ x = -18 \\\\ \\dfrac{360}{x} &, \\ x = 36 \\\\ 4x + 73 &, \\ x \ eq -18, 36 \\end{cases}$$

$
$f(-18) = \square$
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worked example: evaluating piecewise functions
4:24

Explanation:

Step1: Select correct function branch

Since $x=-18$, use $\frac{x-6}{3}$.

Step2: Substitute $x=-18$

$\frac{-18 - 6}{3}$

Step3: Simplify numerator then divide

$\frac{-24}{3} = -8$

Answer:

$-8$