Hello,
This is the question I need help with, it is about 'composition function':
(I'm sorry I did not post a picture of the question, but it is because my books are in a language other than English.)
Given that f (x + 1/x) = x^2 / x^4 +1, (x different than zero), find f(x).
How I tried to solve it:
for x>0:
(x + 1/x) > 1/ (x^2 + 1/x^2)
and for x<0:
(x + 1/x) < - [1 / (x^2 +1/x^2)]
I am not able to find the value of X. I found the answer for this question and f(x) is equal to 1 / (x^2 - 2) (x=< - 2 or x>=2).
Thank you, I would appreciate any help.
This is the question I need help with, it is about 'composition function':
(I'm sorry I did not post a picture of the question, but it is because my books are in a language other than English.)
Given that f (x + 1/x) = x^2 / x^4 +1, (x different than zero), find f(x).
How I tried to solve it:
for x>0:
(x + 1/x) > 1/ (x^2 + 1/x^2)
and for x<0:
(x + 1/x) < - [1 / (x^2 +1/x^2)]
I am not able to find the value of X. I found the answer for this question and f(x) is equal to 1 / (x^2 - 2) (x=< - 2 or x>=2).
Thank you, I would appreciate any help.