Grade Upto college levelAlgebra
Under what conditions the function y =ax+b/cx+d,
(ad- bc)not= 0 is it’s own inverse?
1 Answer
bharat bajaj
First inverse the function :
x = ay + b / cy + d
xcy + dx = ay + b
By this, we get a = -d should be the other condition.
Thanks
Bharat
askiitians faculty
IIT Delhi
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
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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