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If `f(x) and g(x)`are periodic functions with periods 7 and 11, respectively, then the period of `f(x)=f(x)g(x/5)-g(x)f(x/3)`isA. 177B. 222C. 433D. 1155 |
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Answer» Correct Answer - D The period of `f(x)` is 7. So, the period of `f((x)/(3)) " is " (7)/(1//3)=21.` The period of g(x) is 11. So, the period of `g((x)/(5)) " is " (11)/(1//5) =55.` Hence, `T_(1)="Period of " f(x)g((x)/(5))=7xx 55=385` and `T_(2)="period of " g(x) f((x)/(3)) =11xx 21 =231` ` :. " Period of " F(x)=LCM {T_(1),T_(2)}` `=LCM{385,231}` `=7xx11xx3xx5` `=1155` |
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