What is the domain and range of f(x)=3/x?

1 Answer
Alan P.
Aug 7, 2015

The domain is RR - 0 (that is all Real values excluding 0)
The range is also RR - 0

Explanation:

f(x) = 3/x is obviously not defined when x=0 but can be evaluated for any other value of x

If we consider the inverse relation:
color(white)("XXXX")x= 3/f(x)
it is clear that f(x) has a range with only 0 excluded (by the same reasoning as for the domain).

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