Question #3ea87153 - SAT Suite Question Bank

ID: 3ea87153

Modded SAT Question Bank by Abdullah Mallik

The function $g$ is defined by $g (x) = x^{2} + 9$ . For which value of $x$ is $g left parenthesis x right parenthesis equals 25$ ?

$4$
$5$
$9$
$13$

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Correct Answer: A

Rationale

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 $16 equals x squared$ . Taking the square root of each side of this equation yields $x = \pm 4$ . It follows that $g left parenthesis x right parenthesis equals 25$ when the value of $x$ is $4$ or $negative 4$ . 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.

Question Difficulty: Easy