Prove that inverse of function is also linear fractional fraction?

**fardeen_gen** · May 23rd 2009, 10:16 PM

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.

**HallsofIvy** · May 24th 2009, 07:47 AM

The simplest way to do that is to find the inverse!

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Prove that inverse of function is also linear fractional fraction?

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