Question: Find all rational functions R(x) = f(x)/g(x) such that the following holds : (i) x intercepts : 1;-1 (ii) Asymptotes : y = 2; x

Find all rational functions R(x) = f(x)/g(x) such that the following

Find all rational functions R(x) = f(x)/g(x) such that the following holds :

(i) x intercepts : 1;-1

(ii) Asymptotes : y = 2; x = 2

(iii) deg(g) = 5

holds :(i) x intercepts : 1;-1(ii) Asymptotes : y = 2; x

3. (20 pts ) Find all rational functions R(x) = f(2) g(x) such that the following holds : (i) x intercepts : 1, -1 (ii) Asymptotes : y = 2, r = 2 (iii) deg(g) = 5

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