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Linear Functions

SAT Math· difficulty 3/5

What is the inverse of f(x)=2x−53f(x) = \dfrac{2x - 5}{3}?

  • A

    f−1(x)=3x−52f^{-1}(x) = \dfrac{3x - 5}{2}

  • B

    f−1(x)=3−5x2f^{-1}(x) = \dfrac{3 - 5x}{2}

  • C

    f−1(x)=3x+52f^{-1}(x) = \dfrac{3x + 5}{2}

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  • D

    f−1(x)=2x+53f^{-1}(x) = \dfrac{2x + 5}{3}

Explanation

Solve y=(2x−5)/3y = (2x-5)/3 for xx: 3y=2x−53y = 2x - 5, so x=(3y+5)/2x = (3y+5)/2.

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