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Linear Functions

SAT Math· difficulty 4/5

For what value of bb does f(x)=3x+bf(x) = 3x + b have f−1(2)=−1f^{-1}(2) = -1?

  • A

    55

    check_circle
  • B

    −5-5

  • C

    −2-2

  • D

    22

Explanation

f−1(2)=−1  ⟺  f(−1)=2f^{-1}(2) = -1 \iff f(-1) = 2. So −3+b=2⇒b=5-3 + b = 2 \Rightarrow b = 5.

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