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Linear Functions

SAT Math· difficulty 4/5

The linear function ff has inverse f−1f^{-1} with f−1(0)=4f^{-1}(0) = 4 and f−1(6)=7f^{-1}(6) = 7. What is f(10)f(10)?

  • A

    1010

  • B

    1414

  • C

    1212

    check_circle
  • D

    1616

Explanation

From f−1f^{-1}: f(4)=0f(4) = 0 and f(7)=6f(7) = 6. Slope of f=6/3=2f = 6/3 = 2. f(x)=2x−8f(x) = 2x - 8. f(10)=12f(10) = 12.

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