Choice A is correct. It’s given that g(x) = x2 +9. Substituting 25 for g(x) in this equation yields 25 = x2 +9. Subtracting 9 from both sides of this equation yields 16 = x2. 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.