# Thread: Domain Range for a modulus function

1. ## Domain Range for a modulus function

Please tell me what is the domain and range for the following modulus function and plz explain why?

f(x)=1/|x|

Sophia

2. Originally Posted by sophia.yeng
Please tell me what is the domain and range for the following modulus function and plz explain why?

f(x)=1/|x|

Sophia
Well let me ask you something. If I asked you to find the domain of...hmm...IDK say $f(x)=\frac{1}{x}$ or $f(x)=\frac{-1}{x}$ could you do it?

For the range, just think about it $f(-x)=f(x)$ so you only need to consider the range on $(0,\infty)$ (why?) But on $(0,\infty)$ whati s $|x|$ more commonly known as?

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