Math, asked by Vivelydikagu9visham, 1 year ago

If a*f(x) + b*f(1/x) = 1/x - 5 then find f(x).

Answers

Answered by kvnmurty
0
a  f(x) + b  f(1/x) =  1/x   -  5             or  is  it   1/(x - 5)  ??

a f(1/x) + b f (x) =  x - 5          substituting x in place of 1/x

solving the two equations. : 
     ( a^2 - b^2 )f(x) =  a/x  - 5a  - b x +5b
 
f(x) =  [ a/x + 5 (b -a) - b x ] /(a^2 - b^2)

Answered by anupghosal2007
0

a  f(x) + b  f(1/x) =  1/x   -  5             or  is  it   1/(x - 5)  ??


a f(1/x) + b f (x) =  x - 5          substituting x in place of 1/x


solving the two equations. :

    ( a^2 - b^2 )f(x) =  a/x  - 5a  - b x +5b

f(x) =  [ a/x + 5 (b -a) - b x ] /(a^2 - b^2)


Read more on Brainly.in - https://brainly.in/question/518847#readmore

Similar questions