If 3f(x)+5f(1/x)=1/x -3,then f(x) =

(a)1/14(3/x +5x -6) (b)1/14(-3/x +5x -6) c)1/14(-3/x +5x+6) d) none of these

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If 3f(x)+5f(1/x)=1/x -3,then f(x) =
(a)1/14(3/x +5x -6) (b)1/14(-3/x +5x -6) c)1/14(-3/x +5x+6) d)
none of these

Priyanka Kedia · Accepted Answer

Given,3fx+5f1x=1x-3        
1Replace x by 1x, we have,3f1x+5fx=x-3           
2Multiply equation 1 by 3 and 2 by 5,9fx+15f1x=3x-9              
315f1x+25fx=5x-15           
4Subtracting equation 3 and 4,-16fx=3x-9-5x+15⇒-16fx=3x-5x+6⇒16fx=-3x+5x-6⇒fx=116-3x+5x-6Thus, optiond is correct

If 3f(x)+5f(1/x)=1/x -3,then f(x) = (a)1/14(3/x +5x -6) (b)1/14(-3/x +5x -6) c)1/14(-3/x +5x+6) d) none of these

If 3f(x)+5f(1/x)=1/x -3,then f(x) =

(a)1/14(3/x +5x -6) (b)1/14(-3/x +5x -6) c)1/14(-3/x +5x+6) d) none of these