Question

What are the asymptote(s) and hole(s), if any, of `f(x) =(1+1/x)/(1/x)`?

Answer 1

The is a hole at `x=0`.

Explanation:

`f(x)=(1+1/x)/(1/x)=x+1`

This is a linear function with gradient `1` and `y`-intercept `1`. It is defined at every `x` except for `x=0` because division by `0` is undefined.