Question

Question was provided via image upload.

Explanation:

Step1: Determine the applicable piece

Check if \( x = -4 \) satisfies \( x \leq -2 \) or \( x > -2 \). Since \( -4 \leq -2 \), use \( f(x)=\frac{3}{4}x + 3 \).

Step2: Substitute \( x = -4 \)

Substitute \( x=-4 \) into \( \frac{3}{4}x + 3 \): \( \frac{3}{4}(-4)+3 \).

Step3: Simplify the expression

Calculate \( \frac{3}{4}(-4)= -3 \), then \( -3 + 3 = 0 \).

Answer:

\( 0 \)