1. Problem: Given functions $f(x) = 3x + 2$ and $g(x) = 2 - x$, find the composite function $(f \circ g)(x)$. 2. Formula: The composite function $(f \circ g)(x)$ means $f(g(x))$, which is $f$ evaluated at $g(x)$. 3. Substitute $g(x)$ into $f$: $$f(g(x)) = f(2 - x) = 3(2 - x) + 2$$ 4. Simplify the expression: $$3(2 - x) + 2 = 3 \times 2 - 3x + 2 = 6 - 3x + 2 = 8 - 3x$$ 5. Rewrite in standard form: $$-3x + 8$$ 6. Therefore, the composite function $(f \circ g)(x) = -3x + 8$. Answer: A. -3x + 8