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

Question

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

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 = /mo> 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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