what is the domain for the following function?
y=

a.) {x ≠ -3}
b.) {all real numbers}
c.) {x ≠ 3}
d.) {x ≠ 0}

C. All real numbers except x=3.

Step-by-step explanation:

Domain is all the numbers that you can plug in and the expression will exist for that number you plugged in.

The given expression is a fraction. In a fraction, we have to worry about dividing by 0.

x-3 is 0 when x=0+3=3 (added 3 on both sides).

So the domain is all real numbers except x=3.

The reason we do not want to allow x to be 3 is because you will get:

which is not defined.

step-by-step explanation:

ask goog great chance of finding the solution there