algebra

find the inverse
((3x)/(x-4))=y

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  1. this is as far as i got

    (3y)/y-4=x
    3y=xy-4x

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  2. Calculating the inverse of a function is easy.Just make x the subject of the equation, and replace y with x in the resulting expression

    3y/(y-4)=x

    3y=x(y-4)

    3y=xy-4x

    3y-xy= -4x

    y(3-x)= -4x Divide with (3-x)

    y= -4x/(3-x)= -4x/-(x-3)= 4x/(x-3)

    4x/(x-3)

    Is inverse function of 3x/(x-4)

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