please-Sir-Would-u-explain-to-me-how-if-f-x-x-1-2f-x-1-x-x-x-1-then-f-x-is-

Question Number 54504 by afachri last updated on 05/Feb/19

please, Sir . Would u explain to me how ?

if f (\frac{x}{x - 1}) + 2 f (\frac{x - 1}{x}) = \frac{x}{x - 1},

then f (x) is \dots .

Answered by tanmay.chaudhury50@gmail.com last updated on 05/Feb/19

f (a) + 2 f (\frac{1}{a}) = a \times 2

f (\frac{1}{a}) + 2 f (a) = \frac{1}{a} \times 1

2 f (a) + 4 f (\frac{1}{a}) = 2 a

2 f (a) + f (\frac{1}{a}) = \frac{1}{a}

s o 3 f (\frac{1}{a}) = 2 a - \frac{1}{a}

3 f (\frac{1}{a}) = (\frac{2}{\frac{1}{a}} - \frac{1}{a})

f (\frac{1}{a}) = \frac{1}{3} (\frac{2}{\frac{1}{a}} - \frac{1}{a})

f (x) = \frac{1}{3} (\frac{2}{x} - x)

Commented by afachri last updated on 05/Feb/19

a h a a a . i w a s c u r i o u s a n d g e t t i n g s t u c k

h o w t o s o l v e i t . i n s t e a d {i t}^{'} s s i m p l e .

T h a n k Y o u s o m u c h M r T a n m a y .

Commented by tanmay.chaudhury50@gmail.com last updated on 05/Feb/19

m o s t w e l c o m e s i r \dots

Commented by Joel578 last updated on 06/Feb/19

Mr . Afachri, are u from Indonesia ?

Commented by afachri last updated on 08/Feb/19

yes i am M r Joel . A r e y o u ? ?

Commented by Joel578 last updated on 08/Feb/19

wah sama, hehehe

Commented by afachri last updated on 08/Feb/19

a s e e k k k e t e m u s a m a s a m a d i s i n i .

m o h o n b i m b i n g a n n y a . M a i n b r a i n l y

j u g a ? ?

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