Answer:
A) x ≠ 0
B) x ≠ 3
Explanation:
The domain is all the possible values of x such that f(x) exists.
A) f(x) = (x + 5) / x
x can't be 0 (can't divide by 0), so the domain of x is all values other than 0.
You can write this in interval notation:
(-∞, 0)⋃(0, ∞)
Inequality notation:
x < 0 or x > 0
Or simply:
x ≠ 0
B) f(x) = 1 / (x - 3)
x can't be 3 (can't divide by 0), so the domain of x is all values other than 3.
(-∞, 3)⋃(3, ∞)
x < 3 or x > 3
x ≠ 3