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Linear Functions

SAT Math· difficulty 3/5

If ff is linear and f(1)=4f(1) = 4, f(3)=10f(3) = 10, then f−1(7)f^{-1}(7) equals:

  • A

    11

  • B

    22

    check_circle
  • C

    33

  • D

    52\dfrac{5}{2}

Explanation

Slope =3= 3. f(x)=3x+1f(x) = 3x + 1. f−1(7)=(7−1)/3=2f^{-1}(7) = (7 - 1)/3 = 2.

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