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Linear Functions

SAT Math· difficulty 3/5

A linear function satisfies f(2)=7f(2) = 7 and f(−1)=1f(-1) = 1. What is f−1(13)f^{-1}(13)?

  • A

    33

  • B

    44

  • C

    66

  • D

    55

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Explanation

Slope =(7−1)/(2−(−1))=6/3=2= (7-1)/(2-(-1)) = 6/3 = 2. f(x)=2x+3f(x) = 2x + 3. f−1(13)f^{-1}(13): solve 2x+3=13⇒x=52x + 3 = 13 \Rightarrow x = 5.

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