SOLUTION: (x+(x^-2))/(1+(x^-2))

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Question 693319: (x+(x^-2))/(1+(x^-2))
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B%28x%5E%28-2%29%29%29%2F%281%2B%28x%5E%28-2%29%29%29

%28x%2B%281%2Fx%5E2%29%29%2F%281%2B%281%2Fx%5E2%29%29

%28%28x%2Ax%5E2%2B1%29%2Fx%5E2%29%2F%28%281%2Ax%5E2%2B1%29%2Fx%5E2%29

%28%28x%5E3%2B1%29%2Fx%5E2%29%2F%28%28x%5E2%2B1%29%2Fx%5E2%29

%28%28x%5E3%2B1%29%2Fcross%28x%5E2%29%29%2F%28%28x%5E2%2B1%29%2Fcross%28x%5E2%29%29

%28x%5E3%2B1%29%2F%28x%5E2%2B1%29
roots:
real root x%5E2%2B1=0.....=>.......x%5E2=-1 =>.......x=-1
complex root %28x%5E3%2B1%29=0....=>....x%5E3=-1...=>....x=root%283%2C-1%29


because you have 1%2Fx%5E2, and because denominator cannot be equal to zero. you have

a domain:



and the range is: