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Math Help - [SOLVED] Function Question

  1. #1
    Member looi76's Avatar
    Joined
    Jan 2008
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    185

    [SOLVED] Function Question

    Question:
    The functions f and g are defined by:
    f : x \mapsto 3x + 2███ x \in \Re

    g : x \mapsto \frac{6}{2x + 3}███ x \neq 1.5

    (i)...
    (ii)...
    (iii) Express each of f^{-1}(x) and g^{-1}(x) in terms of x, and solve the equation f^{-1}(x) = g^{-1}(x)


    Attempt:

    f(x) = 3x + 2
    y = 3x + 2
    y - 2 = 3x
    \frac{y - 2}{3} = x

    f^{-1}(x) = \frac{x - 2}{3}

    g(x) = \frac{6}{2x + 3}

    I don't know how to get the inverse of g(x)
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  2. #2
    Super Member flyingsquirrel's Avatar
    Joined
    Apr 2008
    Posts
    802
    Hi

    The same idea should work :

    y=\frac{6}{2x+3}

    You want an equality starting by x=\ldots so multiply both sides by 2x+3 and then bring y to the right hand side.
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