Question

Find the domain of the following functions ?

Answer 1

Answer:

A) x ≠ 0

B) x ≠ 3

Step-by-step 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