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Linear Functions

SAT Math· difficulty 4/5

If f(g(x))=xf(g(x)) = x for all xx, and f(x)=5x−3f(x) = 5x - 3, then g(x)=g(x) =

  • A

    15x−3\dfrac{1}{5x - 3}

  • B

    x−35\dfrac{x - 3}{5}

  • C

    x+35\dfrac{x + 3}{5}

    check_circle
  • D

    5x+35x + 3

Explanation

gg must be the inverse: g(x)=(x+3)/5g(x) = (x + 3)/5.

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