High School

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------------------------------------------------ Two functions are shown below:

\[ f(x) = 6x + 3 \]
\[ g(x) = 3x - 2 \]

What is the product of \( f(3) \) and \( g(-4) \)?

A. 210
B. -210
C. 294

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.

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