What is the domain of f(x) = xf(x)=x?

1 Answer
Eddie W.
Aug 3, 2014

All real values of xx.

The "domain" of a function is the set of values that you can put into the function such that the function is defined. It's easiest to understand this in terms of a counter-example. For instance, x=0x=0 is NOT part of the domain of y=1/xy=1x, because when you put that value into the function, the function isn't defined (i.e. 1/010 isn't defined).

For the function f(x)=xf(x)=x, you can put any real value of xx into f(x)f(x) and it will be defined - so that means the domain of this function is all real values of xx.

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