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Nonlinear functions SAT question

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

The function $f$ is defined by $f (x) = 8 x$ . For what value of $x$ does $f (x) = 48$ ?

ExplanationShow

Choice C is correct. It's given that $f (x) = 8 x$ . Substituting $48$ for $f (x)$ in this equation yields $48 = 8 x$ . Dividing both sides of this equation by $8$ yields $6 = x$ . This can be rewritten as $x = 6$ . Squaring both sides of this equation yields $x = 36$ . Therefore, the value of $x$ for which $f (x) = 48$ is $36$ .

Choice A is incorrect. If $x = 6$ , $f (x) = 86$ , not $48$ .

Choice B is incorrect. If $x = 8$ , $f (x) = 88$ , not $48$ .

Choice D is incorrect. If $x = 64$ , $f (x) = 864$ , which is equivalent to $64$ , not $48$ .

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