Question: Show that if f (x) and g(x) are functions from the set of real numbers to the set of real numbers, then f (x) is

Show that if f (x) and g(x) are functions from the set of real numbers to the set of real numbers, then f (x) is (g(x)) if and only if there are positive constants k, C1, and C2 such that C1 |g(x)| ‰¤ |f (x)| ‰¤ C2|g(x)| whenever x > k.

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