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If a function f satisfies 2*f(x) - 3*f(1/x) = x² for all x not equal to 0, find the value of f(2).

1. 7/4
2. 5/2
3. -1
4. none of these

Correct answer: none of these

Solution

Substituting x -> 1/x gives a second linear equation in f(x) and f(1/x). Solving the pair gives f(x), then substitute x = 2.

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