find f(x)

Asked by  | 19th Jul, 2008, 10:51: PM

Expert Answer:

we are given af(x) + b f(1/x) = x+x/5       (1)

put x->1/x in above equation we will get

bf(x) + a f(1/x) = 1/x +1/ 5x                        (2)

multiply (1) by a and (2) by b and then subtract

we will get (a2+b2)f(x) = a(x+x/5) + b (1/x +1/ 5x)

or f(x) = ( a(x+x/5) + b (1/x +1/ 5x) ) / (a2+b2)

Answered by  | 8th Sep, 2008, 06:46: PM

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