Linear Functions

SAT Math· difficulty 4/5

If f(x)=3x+2f(x) = 3x + 2 and f1(g(x))=xf^{-1}(g(x)) = x, then g(x)=g(x) =

  • A

    x23\dfrac{x - 2}{3}

  • B

    3x23x - 2

  • C

    x+23\dfrac{x + 2}{3}

  • D

    3x+23x + 2

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Explanation

f1(g(x))=xf^{-1}(g(x)) = x implies g(x)=f(x)=3x+2g(x) = f(x) = 3x + 2.

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