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Nonlinear functions SAT question

Math · Advanced Math · Easy · Answer it here, explanation included.

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

ExplanationShow

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 $f (3) = \frac{1}{18}$ . Therefore, when $x = 3$ , the value of $f (x)$ is $\frac{1}{18}$ .

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

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

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

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