Under what conditions the function y = (ax+b)/(cx+d),(ad - bc) not equals to 0 is it’s own inverse?
lokesh palingi , 10 Years ago
Grade 12
Integral Calculus> Under what conditions the function y = (a...
1 Answers
bharat bajaj
Last Activity: 10 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
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
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