Question #837e9da7 - SAT Suite Question Bank

ID: 837e9da7

Modded SAT Question Bank by Abdullah Mallik

The function $f$ is defined by $f (x) = \frac{1}{6 x}$ . What is the value of $f (x)$ when $x equals 3$ ?

$\frac{1}{3}$
$\frac{1}{6}$
$\frac{1}{9}$
$\frac{1}{18}$

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Correct Answer: D

Rationale

Choice D is correct. It's given that $f (x) = \frac{1}{6 x}$ . Substituting $3$ for $x$ in this equation yields $f (3) = \frac{1}{6 (3)}$ , or $f left parenthesis 3 right parenthesis equals one eighteenth$ . Therefore, when $x equals 3$ , the value of $f (x)$ is $\frac{1}{18}$ .

Choice A is incorrect. This is the value of $f (x)$ when $x equals 0.5$ .

Choice B is incorrect. This is the value of $f (x)$ when $x equals 1$ .

Choice C is incorrect. This is the value of $f (x)$ when $x equals 1.5$ .

Question Difficulty: Easy