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f(x) is an even function & satisy the relation x 2 f(x) -2f(1/x) =g(x), where g(x) is an odd function, find f(10)?

f(x) is an even function & satisy the relation x2f(x) -2f(1/x) =g(x), where g(x) is an odd function, find f(10)?

Grade:12th pass

1 Answers

Bharat Makkar
34 Points
9 years ago
ARPIT BHAI PEHLE REPLACE x BY ( -x ) IN THE EQUATION AND ELIMINATE g ( x ).THEN YOU WILL HAVE AN EQUATION CONTAINING f ( x ) AND f ( 1/x ).  THEN REPLACE  x BY 1/x. U WILL GET TWO EQUATIONS IN TWO VARIABLES. ON SOLVING U WILL GET f ( x ) =0 AND HENCE f ( 10) = 0.

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