SAT Math Multiple Choice Question 625: Answer and Explanation

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Question: 625

10. If f (x) = 3x + n, where n is a constant, and f(2) = 0, then f(n) =

  • A. -24
  • B. -18
  • C. -12
  • D. 12

Correct Answer: A

Explanation:

A

Algebra (linear functions) MEDIUM-HARD

Given function:

f(x) = 3x + n

Substitute f(2) = 0:

f(2) = 3(2) + n = 0

Simplify:

6 + n = 0

Subtract 6:

n = -6

Therefore, the function is f(x) = 3x - 6.

Evaluate f(n):

f(n) = f(-6) = 3(-6) - 6 = -18 - 6 = -24

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