Help with interval notation?

Question

How do you express the domain and range of this function in interval notation?

f(x) = 1 / (x-3)

Thank you!

Answer 1

The range is:

[-infinity,0) U (0,infinity]

(All reals except 0)

The domain is

[-infinity,3) U (3,infinity]

(All reals except 3)

Answer 2

Domain: = { x "belongs to" R  |   x > 3  or x < 3}

Range: = {  f(x) "belongs to" R | f(x) > 0 or f(x) <0}

hope that helps!