Answer :
Final answer:
The product of f(3) and g(-4), given f(x) = 6x + 3 and g(x) = 3x - 2, is -294.
Explanation:
To find the product of f(3) and g(-4) using the given functions f(x) = 6x + 3 and g(x) = 3x - 2, we first evaluate both functions at their respective values:
For f(3): Substitute x with 3 into f(x), we get f(3) = 6(3) + 3 = 18 + 3 = 21.
For g(-4): Substitute x with -4 into g(x), we get g(-4) = 3(-4) - 2 = -12 - 2 = -14.
Now, we take the two results and multiply them:
f(3) × g(-4) = 21 × (-14) = -294.
The product of f(3) and g(-4) is -294, which means when the two numbers multiplied have opposite signs, the answer has a negative sign.
