The function g is defined by g(x) = x 2 + 9. For which value of x is g(x) = 25?

Question

Accepted Answer

Choice A is correct. It’s given that g(x) = x 2 + 9. Substituting 25 for g(x) in this equation yields 25 = x 2 + 9. Subtracting 9 from both sides of this equation yields 16 = x 2 . Taking the square root of each side of this equation yields x = ±4. It follows that g(x) = 25 when the value of x is 4 or −4. Only 4 is listed among the choices. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.

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