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Grade: 12

                        

Is period of fogx always same as period of gx? Pls answer. I'm not getting it as true for all times

Is period of fogx always same as period of gx? Pls answer. I'm not getting it as true for all times

one year ago

Answers : (3)

Arun
25768 Points
							
Dear student
 
yes it is true
 
as let g(x) has period T
then fog (x+T) = fog (x)
 
hence fog(x) is also periodic woth period T
one year ago
Aditya Gupta
2075 Points
							
dear student, aruns answer is clearly incorrect.
we know that the period of a function h(x) is the smallest positive value T such that
h(x+T)= h(x) for all x.
now let g(x)= sinx and f(x)= cosx.
clearly period of g(x) is 2pi.
but period of fog(x)= cos(sinx) is pi bcoz fog(x+pi)= cos(sin(x+pi))= cos( – sinx)= cos(sinx)= fog(x).
Hence, period of fog need not be same as period of g.
kindly approve :)))
one year ago
Vikas TU
14136 Points
							
Dear student 
Please refer the link below for further knowledge
Good Luck 
one year ago
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