Question

question 10 points 2
f(x) =
\

$$\begin{cases} x - 1 & \\text{if } -3 < x < 2 \\\\ 6x - 3 & \\text{if } 3 < x < 6 \\end{cases}$$

, then find the value of f(x) at x = 4.
options: 27, 21, 5, 3 (circled numbers)

Explanation:

Step1: Determine the applicable function

Given \( x = 4 \), we check the intervals. The interval \( 3 < x < 6 \) includes \( x = 4 \), so we use the function \( f(x)=6x - 3 \).

Step2: Substitute \( x = 4 \) into the function

Substitute \( x = 4 \) into \( f(x)=6x - 3 \):
\( f(4)=6\times4 - 3 \)

Step3: Calculate the result

First, calculate \( 6\times4 = 24 \), then \( 24 - 3 = 21 \).

Answer:

21