# Answer to Question #14714 in Abstract Algebra for Jordan

Question #14714

Is 3/x sometimes, always, or never an integer

Expert's answer

The function f(x) = 3/x "sometimes" takes integer values, that is it also takes

non-integer values.

Actually f(x) is integer if and only if x = 3/n, where n

is a non-zero integer.

In this case f(3/n) = 3/(3/n) = n.

non-integer values.

Actually f(x) is integer if and only if x = 3/n, where n

is a non-zero integer.

In this case f(3/n) = 3/(3/n) = n.

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