Which of the following statement(s) is (are) correct?

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Which of the following statement(s) is (are) correct? (a) If f(x)f(x) is periodic and g(x)g(x) is aperiodic, then f(g(x))f(g(x)) must be aperiodic. (b) If f(x)f(x) and g(x)g(x) are both aperiodic, then f(g(x))f(g(x)) must be aperiodic. (c) If f(x)f(x) is aperiodic and g(x)g(x) is periodic, then f(g(x))f(g(x)) must be periodic. (d) If f(x)f(x) is periodic and g(x)g(x) is aperiodic, then g(f(x))g(f(x)) must be aperiodic.

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