Find the domain and range of this function

The domain of this function is all x's except x =3......that would make the denominator 0

This function has a horizontal asymptote at y = 1

Thus, the range is (-∞, 1) u (1,∞)

Here's a graph......https://www.desmos.com/calculator/gxycvvat1h

Where is the pic?

The picture is f(x)= x+1/x-3

CPhill has probably interpreted this as you intended but it really needed brackets because

$$x+1/x-3 = x+\frac{1}{x}-3$$

Remember that you do division BEFORE you do addition or subtraction!

$$(x+1)/(x-3) = \frac{x+1}{x-3}$$