Let f be a function such that 3 f ( x ) + 2 f ( m 19 x ) = 5 x , x 0 , where m = i = 1 9 ( i ) 2 . Then f ( 5 ) - f ( 2 ) is equal to [2026]

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Solution

Q.
Let $f$ be a function such that $3 f (x) + 2 f (\frac{m}{19 x}) = 5 x, x \neq 0,$ where $m = \sum_{i = 1}^{9} {(i)}^{2} .$ Then $f (5) - f (2)$ is equal to [2026]

1 18

2 - 9

3 9

4 36

Ans.
(1)

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