If g(x) = 3x - 4, what is g(-2)?

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Multiple Choice

If g(x) = 3x - 4, what is g(-2)?

Explanation:
Evaluating a function at a specific input means replacing the variable with that input. For g(x) = 3x - 4, substitute x with -2: g(-2) = 3(-2) - 4. First multiply: 3(-2) = -6. Then subtract 4: -6 - 4 = -10. So g(-2) equals -10. The 3x term contributes -6 at this input, and the -4 shifts the total down by 4, giving -10. If you omit the -4 you’d get -6, and using a different input like x = 2 gives 2, which explains the other options.

Evaluating a function at a specific input means replacing the variable with that input. For g(x) = 3x - 4, substitute x with -2: g(-2) = 3(-2) - 4. First multiply: 3(-2) = -6. Then subtract 4: -6 - 4 = -10. So g(-2) equals -10. The 3x term contributes -6 at this input, and the -4 shifts the total down by 4, giving -10. If you omit the -4 you’d get -6, and using a different input like x = 2 gives 2, which explains the other options.

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