Q:

Plzzzz help1) Given f(x)=x+4 and g(x)=12x-6, what is f(3)+g(-1)?A.) 22B.) 33C.) -11D.) 112) what is f(x).g(x) if f(x)= 2x+3 and g(x)=4x?A) 6x+3B) 6x^2+12C) 8x^2+12D) 8x+33) f(x)=2x-3 and g(x)=4x what is f(2)-g(3)A) 15B) -11C) -15D) -5

Accepted Solution

A:
Answer:1) C.) -112) C.) 8x² + 12x3) B) -11Step-by-step explanation:1)f(x) = x + 4f(3) = 3 + 4 = 7g(x) = 12x - 6g(-1) = 12(-1) - 6 = -12 - 6 = -18f(3) + g(-1) = 7 + (-18) = -112)f(x) = 2x + 3, g(x) = 4xf(x) · g(x) = (2x + 3)(4x)             use the distributive propertyf(x) · g(x) = (2x)(4x) + (3)(4x)f(x) · g(x) = 8x² + 12x3)f(x) = 2x - 3f(2) = 2(2) - 3 = 4 - 3 = 1g(x) = 4xg(3) = 4(3) = 12f(2) - g(3) = 1 - 12 = -11