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Linear Functions

SAT Math· difficulty 4/5

Let f(x)=4x−7f(x) = 4x - 7. For what value of aa does f−1(a)=5f^{-1}(a) = 5?

  • A

    55

  • B

    1313

    check_circle
  • C

    2727

  • D

    2020

Explanation

f−1(a)=5  ⟺  f(5)=af^{-1}(a) = 5 \iff f(5) = a, so a=4(5)−7=13a = 4(5) - 7 = 13.

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