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Nonlinear Functions

SAT Math· difficulty 4/5

If f(x)=x3+1f(x) = x^3 + 1, what is f−1(9)f^{-1}(9)?

  • A

    88

  • B

    83\sqrt[3]{8}

  • C

    22

    check_circle
  • D

    33

Explanation

Solve f(x)=9f(x) = 9: x3+1=9⇒x3=8⇒x=2x^3 + 1 = 9 \Rightarrow x^3 = 8 \Rightarrow x = 2.

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