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Algebra

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If g(x)=3x-5, then g inverse(x)=

  • Algebra -

    Three steps to inverse:
    1. interchange x and y
    2. solve y in terms of x
    3. evaluate f-1(f(x)) to make sure you get back x.

    1. Interchange x and y
    Let y=g(x)=3x-5
    then
    x=3y-5
    2. solve for y
    y=(x+5)/3
    3. evaluate g-1(g(x))
    g-1(g(x))
    =([3x-5]+5)/3
    =(3x)/3
    =x OK

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