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Math Help - Prove that inverse of function is also linear fractional fraction?

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    Super Member fardeen_gen's Avatar
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    Prove that inverse of function is also linear fractional fraction?

    Prove that the inverse of the function f : \mathbb{R} - \left\{-\frac{d}{c}\right\} \rightarrow \mathbb{R} - \left\{\frac{a}{c}\right\}, f(x) = \frac{ax + b}{cx + d}, ad - bc\neq 0 is also a linear fractional function. Under what condition f(x) coincides with its inverse.
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    The simplest way to do that is to find the inverse!
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