So i have done and got I have then got simplified and am now stuck, any help please? Thanks.

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- May 21st 2011, 06:04 AMadam_leedsSelf-Inverse
So i have done and got I have then got simplified and am now stuck, any help please? Thanks.

- May 21st 2011, 07:11 AMtopsquark
I'm a bit confused. Are you trying to find the value of a such that f_a is it's own inverse? And I'm not sure how you got your final equation.

If you are trying to find an a such that f_a is its own inverse:

Clear the complex fractions:

Now put the whole equation under a common denominator, cancel the denominator, and this leaves you a polynomial in powers of x. You will see that the x^4 coefficient cannot be set to 0, so this problem cannot be solved for any value of a.

-Dan - May 21st 2011, 07:39 AMadam_leeds
I have got to find the 2-cycle and its intervals of existence and stability. The way we have been shown in class in The answer is a . But from my answer i can not get this answer, so i think ive done something wrong :(

- May 21st 2011, 02:01 PMmr fantastic
- May 22nd 2011, 02:18 AMadam_leeds