Question

find f(5) for this piecewise - defined function.
$f(x)=\

$$\begin{cases}3x - 6&\\text{if }x\\leq3\\\\6x - 2&\\text{if }x > 3\\end{cases}$$

$
write your answer as an integer or as a fraction in simplest form.
$f(5)=\square$

Explanation:

Step1: Determine the applicable piece

Since \( 5>3 \), we use the second piece \( f(x)=6x - 2 \).

Step2: Substitute \( x = 5 \)

Substitute \( x = 5 \) into \( 6x-2 \): \( 6(5)-2=30 - 2=28 \).

Answer:

28