lt f(x) and g(x) are periodic functions with periods 7 and 11, respectively then the period of Fx=fxgx5-gxfx3  is

The period of f (x)is 7. So, the period of fx3  is     713=21.The period of g(x) is 11. So, the period of gx5  is     1115=55.Hence T 1 = period of fxgx5 =7×55=385and T2  = period of gxfx3 =11×21=231∴      Period  of  Fx=   LCM  T1,T2                                            =   LCM  385,231                                           =   7×11×3×5                                           =   1155