Question

f(x)=|x|-1/|x| find domain and range? anyone help?

Answer 1

Domain are the x-values you can "safely" plug in without causing issues. For most math, that means you can't divide by zero or do an even root of a negative number. Since there are no radicals at all here, the only thing we have to "worry" about is dividing by zero. Look closely at the equation and think about what x-value(s) would make you divide by zero. Your domain will be everything BUT that.

As for range, the range is the list of all possible y-values that the equation could give you as answers. To "figure" that out, try throwing different values of x into the equation and watch what happens. Be sure to try negative x's, zero, positive x's, and make sure you try fraction x-values also. Once you've thought about it, figure out how to "say" the possible y-value answers. That will be your range.

Answer 2

I think that

your domain is:
R-{0}
your range is: \[]1,-\infty[\]