214k views
1 vote
Find the domain for f of x equals the quantity x plus 3 divided by quantity x minus 2. (2 points) x ≠ 2 x ≠ -3 x ≠ -3, 2 All real numbers

User Waffles
by
4.7k points

1 Answer

3 votes

Answer:

x different from 2

Explanation:

The function is written as the quotient:
(x+3)/(x-2)

that can give us a real value for any value of x except for x=2 that creates a ZERO in the denominator, making the division undefined.

So the only value for which the function cannot be evaluated is x=2, therefore the function's domain is all the real numbers except for x=2.

User Mario Trucco
by
5.6k points