If f(x) = x + 7 and g(x) = 7x, what is the value of 4f(2) − g(2)?

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Accepted Answer

Key Explanation: Choice C is correct. The value of f(2) can be found by substituting 2 for x in the given equation f(x) = x + 7, which yields f(2) = 2 + 7, or f(2) = 9. The value of g(2) can be found by substituting 2 for x in the given equation g(x) = 7x, which yields g(2) = 7(2), or g(2) = 14. The value of the expression 4f(2) − g(2) can be found by substituting the corresponding values into the expression, which gives 4(9) − 14. This expression is equivalent to 36 − 14, or 22. Distractor Explanations: Choice A is incorrect. This is the value of f(2) − g(2), not 4f(2) − g(2). Choice B is incorrect and may result from calculating 4f(2) as 4(2) + 7, rather than 4(2 + 7). Choice D is incorrect and may result from conceptual or calculation errors.

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