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Under what conditions the function y =(ax+b)/(cx+d), (ad- bc)not= 0 is it’s own inverse?

Narasimha Reddy , 11 Years ago
Grade Upto college level
anser 1 Answers
bharat bajaj

Last Activity: 11 Years ago

First inverse the function :
x = ay + b / cy + d
xcy + dx = ay + b
y = b - dx/ cx - a
It should be equal to original function
b - dx/ cx - a = ax + b/cx + d
bcx + bd - dcx^2 - d^2x = acx^2 + bcx - a^2x - ab

By this, we get a = -d should be the other condition.
Thanks
Bharat
askiitians faculty
IIT Delhi

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