Question

What is the domain of f/g, given f(x)= x+2 and g(x)= x-7?

Answer 1

all real numbers EXCEPT 7
... division by zero is a NO-NO

Answer 2

How did you get that, @scott

Answer 3

My choices are this,
(-infinity,7) U (7,infinity)
(-infinity,-7) U (-7,infinity)
(-infinity,-2) U (-2,7)U (7,infinity)
((-infinity,infinity)

Answer 4

the domain of all polynomials is all real numbers.

But, division by zero is undefined, so any values of x that make the denominator zero must be excluded from the domain.

Answer 5

g(x) = x - 7
... when x = 7 , g(x) = 0

f/g is undefined

the 1st choice is correct
... there should be notation that 7 is NOT included

Answer 6

there is, but it's not interval notation. I'd say it's

{x|x∊R & x≠7}