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Linear Functions

SAT Math· difficulty 4/5

A linear function satisfies f(2)=11f(2) = 11 and f(−3)=−4f(-3) = -4. What is f−1(20)f^{-1}(20)?

  • A

    66

  • B

    55

    check_circle
  • C

    88

  • D

    33

Explanation

Slope =(11−(−4))/(2−(−3))=15/5=3= (11 - (-4))/(2 - (-3)) = 15/5 = 3. f(x)=3x+5f(x) = 3x + 5. Solve 3x+5=20⇒x=53x + 5 = 20 \Rightarrow x = 5.

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