Question

Find the domain for the rational function f of x equals quantity x end quantity divided by quantity x minus 5 end quantity.

(−∞, 0) (0, ∞)
(−∞, 1) (1, ∞)
(−∞, 5) (5, ∞)
(−∞, −5) (−5, ∞)

Answer 1

hmm

Answer 2

do I have to

Answer 3

I think its (−∞, 5) (5, ∞) I'm just not sure if thats correct......

Answer 4

why u say that

Answer 5

f(x) = x/(x-5)

???

Answer 6

Yeah.

Answer 7

Okay, so this is the function
the domain is whenever the bottom of the function doesn't equal to zero.
The denominator is x-5, so when x=5, then the bottom is zero, This would make the function undefined. So everywhere else the domain is defined (except for at x=5). So what is your answer?

Answer 8

That would make the answer (−∞, 5) (5, ∞) ??

Answer 9

yes. Good luck with your assignment : )