Q.
If f(x) and g(x) are periodic functions with periods 7 and 11, respectively, then the period of F(x)=f(x)gx5−g(x)fx3 is
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a
177
b
222
c
433
d
1155
answer is D.
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Detailed Solution
The period of fx is 7,so the period of fx3 is 713=21 since period of fx = p then the period of fax+b=pasince the period of gx=11, the period of gx5=1115=55 P1= period of fx·gx5 =7 ·55=385and P2= period of gx·fx3=11·21 =231 therefore period of Fx = LCM P1,P2 =LCM 385,231 = 1155
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