Question

if \\(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\\).

\\(\bigcirc\\) 21

\\(\bigcirc\\) 27

Explanation:

Identify the interval containing x = 4

$$ x = 4 \implies 3 < 4 < 6 $$

Evaluate the function using the corresponding piece

$$ f(x) = 6x - 3 \implies f(4) = 6(4) - 3 $$

Calculate the final value

$$ f(4) = 24 - 3 = 21 $$

Answer:

• (A) 21 (Correct answer)
• (B) 27