Answer:
The expression that equivalent to (g - f)(3) is 6(3) - 4 + 3² ⇒ C
Step-by-step explanation:
Let us solve the question
∵ f(x) = 4 - x²
∵ g(x) = 6x
→ Find at first (g - f)(x) by subtracting f(x) from g(x)
∵ (g - f)(x) = 6x - (4 - x²)
→ Remember (-)(+) = (-) and (-)(-) = (+)
∴ (g - f)(x) = 6x - 4 + x²
→ Substitute x by 3 to find (g - f)(3)
∵ (g - f)(3) = 6(3) - 4 + (3)²
∴ (g - f)(3) = 6(3) - 4 + 3²
The expression that equivalent to (g - f)(3) is 6(3) - 4 + 3²
