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.

When you throw a dice, the outcomes are 1,2,3,4,5 and 6.
Here, even outcomes are 2,4,6
And odd outcomes are 1,3,5,
Thus, the probability of getting an even number is = No of favourable outcomes/Total number of outcomes.
 = 3/6 = 1/2 
Now, the probability of not getting 2 will be 5/6
Thus, the net  P (even, then not 2) = × =