Find the domain of the function shown. write the answer in interval notation. a. (–∞, 3) ∪ (3, ∞) b. (–∞, 3) c. (–20, 3) d. (–∞, –20) ∪ (–20, ∞)

( - ∞, 3) ∪ (3, ∞ )

The domain is the set of values of x which make f(x) defined

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve x - 3 = 0 ⇒ x = 3

domain : (- ∞, 3) ∪ (3, ∞ )