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Algebra Difficulty: Easy

The function $f$ is defined by $f (x) = 3 x - 8$ . What is the value of $f left parenthesis 7 right parenthesis$ ?

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Explanation

Choice B is correct. It’s given that the function $f$ is defined by $f (x) = 3 x - 8$ . The value of $f left parenthesis 7 right parenthesis$ is the value of $f (x)$ when $x equals 7$ . Substituting $7$ for $x$ in the given equation yields $f (7) = 3 (7) - 8$ , which is equivalent to $f (7) = 21 - 8$ , or $f left parenthesis 7 right parenthesis equals 13$ .

Choice A is incorrect. This is the value of $f left parenthesis 7 right parenthesis$ when $f (x) = 3 x + 8$ , rather than $f (x) = 3 x - 8$ .

Choice C is incorrect. This is the value of $f left parenthesis 1 right parenthesis$ , rather than $f left parenthesis 7 right parenthesis$ .

Choice D is incorrect. This is the value of $f left parenthesis negative 7 right parenthesis$ , rather than $f left parenthesis 7 right parenthesis$ .