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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