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Nonlinear Functions

SAT Math· difficulty 5/5

If f(x)=4x+1f(x) = 4x + 1, evaluate f−1(9)+f(2)f^{-1}(9) + f(2).

  • A

    1313

  • B

    1212

  • C

    1010

  • D

    1111

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Explanation

f−1(9)f^{-1}(9): solve 4x+1=9⇒x=24x + 1 = 9 \Rightarrow x = 2. f(2)=9f(2) = 9. Sum: 2+9=112 + 9 = 11.

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