what number is excluded from the domain of the function y=5/x-3? please help me!

a. 3
b. Not Here
c. -3
d. 5

I assume you meant

y = 5/(x-3)
when x = 3, we are dividing by zero

so x ≠ 3

What does this have to do with geometry?

To determine the number excluded from the domain of the function y = 5/(x - 3), we need to identify any value of x that would make the denominator (x - 3) equal to zero.

If the denominator is zero, it would create an undefined value in the function because division by zero is undefined in mathematics. Therefore, x - 3 must not equal zero.

To find the excluded number, we solve for x in the equation x - 3 = 0:

x - 3 = 0
x = 3

Hence, the number excluded from the domain is x = 3.

Therefore, the answer is a. 3.