1standard type. u have 1 equation already. put x=1/x to get another. solve simultanously.
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1.Let f(x) be a function satisfying 2f(x)-3f(1/x)=x2 for any
x≠0.then the value of f(2) is....
Ans.-7/4
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UP 0 DOWN 0 0 3
3 Answers
1
1Given , 2 f ( x ) - 3 f ( 1x ) = x 2 ............... ( 1 )
Change " x " by " 1x " .
You get ,
2 f ( 1x ) - 3 f ( x ) = 1x 2..............( 2 )
( 1 ) x 2 + ( 2 ) x 3 gives ,
- 5 f ( x ) = 2 x 2 + 3x 2
or , f ( x ) = - 2 x 4 + 35 x 2
Hence , f ( 2 ) = - 3520 = - 74