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a) How can I simplify so I can get from: 

 

f(f(x))= [(x-sqrt3)/(xsqrt3+1)-sqrt3]/[(x-sqrt3)/(xsqrt3 +1)*sqrt3 +1] to f(f(x)) = (x+sqrt3)/(1-sqrt3*x)?

 

b) How can I simplify from: f(f(f(x)) )= [(x+sqrt3)/(1-sqrt3 *x) +sqrt3]/[1-sqrt3(3+sqrt3)/(1-sqrt3 *x)] to f(f(f(x)))=x?

 

Thank you!

 Dec 15, 2022
edited by Guest  Dec 15, 2022
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See https://en.wikipedia.org/wiki/M%C3%B6bius_transformation

 Dec 15, 2022

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