Question #788bfd56 - SAT Suite Question Bank

ID: 788bfd56

Modded SAT Question Bank by Abdullah Mallik

The function $f$ is defined by $f (x) = 4 + \sqrt{x}$ . What is the value of $f left parenthesis 144 right parenthesis$ ?

$0$
$16$
$40$
$76$

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Correct Answer: B

Rationale

Choice B is correct. The value of $f left parenthesis 144 right parenthesis$ is the value of $f (x)$ when $x equals 144$ . It's given that the function $f$ is defined by $f (x) = 4 + \sqrt{x}$ . Substituting $144$ for $x$ in this equation yields $f (144) = 4 + \sqrt{144}$ . Since the positive square root of $144$ is $12$ , it follows that this equation can be rewritten as $f (144) = 4 + 12$ , or $f left parenthesis 144 right parenthesis equals 16$ . Therefore, the value of $f left parenthesis 144 right parenthesis$ is $16$ .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect. This is the value of $f left parenthesis 1,296 right parenthesis$ , not $f left parenthesis 144 right parenthesis$ .

Choice D is incorrect. This is the value of $f left parenthesis 5,184 right parenthesis$ , not $f left parenthesis 144 right parenthesis$ .

Question Difficulty: Easy