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Advanced Math / Nonlinear functions Difficulty: Easy

The function g is defined by gx=x2+9. For which value of x is gx=25?

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Explanation

Choice A is correct. It's given that gx=x2+9. Substituting 25 for gx 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 gx=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.