Finding the domain of this function and using interval notation

Question

I need help finding the domain and writing it in interval notation. The function is:

f(x) = 7/x-8

Answer 1

f(x) = 7/x - 8

has domain all real numbers except zero

(-infinity, 0) U (0, infinity)

UNLESS you really meant to write f(x) = 7/(x-8)

then the domain is all real numbers except 8

(- infinity, 8) U (8, infinity) in interval notation

you can't divide by 0

use parentheses, not brackets to indicate the endpoints are not included in the domain

f(x) is a rectangular hyperbola with a discontinuity where the denominator = 0. when x makes the denominator = 0, that's the value of x that is not in the domain.