For the sake of periodicity- Part 2

Algebra Level 5

True or False?

If g ( x ) g(x) is a periodic function with fundamental period λ \lambda , then f g ( x ) f \circ g(x) is periodic with fundamental period λ \lambda .

Clarification: f g ( x ) = f ( g ( x ) ) f \circ g(x)=f(g(x)) .

False, but it is true if f f is a non-periodic function Never true False, but it is true if f ( x ) = π x f(x)=\pi^x False, but it is true if f f is a periodic function Always true

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