I'm asked to find the domain of fuction

(x+5)/(x-3)

saying that x is all reals except for x can not equal three is wrong correct? Because i can evalue function when x = 3 as follows

3 + 5 = 8

so saying that the function has range x is a reals except x can not equal three is wrong because it can???

No, it's not wrong.

When x=3, we have:

(x + 5) / ( x - 3)

= (3 + 5) / ( 3 - 3)

= 8 / 0

which is undefined, because of division by zero.

no its 8

I'm sure i did it right

What is 8 divided by zero?

no...

also all reals is wrong because
i know you can never get a value greater than -5/3

wait what am I doing wrong here

(X+5)/(X - 3)

(x+5)/x
--------
(x-3)/x

(1+5/X)
--------
(1-3/x)

i forgot were to go from here

(x+5)/(x - 3)

is just

(x+5)
-----
(x-3)

1 + 0

-------------
1 - 0

I'm just getting 1????

oh...

I did it right

graph it if you don't believe me

so the range is...

y is...
arg confused