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ALGEBRA EXPERT PLZ: Find the inverse of the following one to one function?

f(x)=2x/3x+4 THE INVERSE FUNCTION OF f(x)is f^-1(x)=

2 Answers

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  • 8 years ago
    Favorite Answer

    I'm going to assume that the function f(x) is 2x as the numerator and 3x + 4 as the denominator, 'cause otherwise it wouldn't work.

    y = 2x

    -----------

    3x + 4

    To find the inverse you switch the domain and the range, so lets substitute x with y and vice versa to get:

    x = 2y

    -------

    3y + 4

    Now, solve for your new function (meaning solve for y)

    x = 2y + 2y

    ----- ------

    3y 4

    x = 2 + 2y

    ---- -----

    3 4

    4(x- 2/3) = 2y

    4x - (8/3) = 2y

    y = 2x - (4/3)

  • Anonymous
    8 years ago

    If f(x)=2x/3x+4 that just simplifies to f(x)=2/3+4 which is a constant since its a constant and doesn't depend on x it has no inverse. So f^-1(x) Does Not Exist [DNE]. Perhaps you typed the equation wrong?

    Source(s): Math and Physics Major
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