Find the domain of the function shown. Write the answer in interval notation.

A. (–∞, 3) ∪ (3, ∞)
B. (–∞, 3)
C. (–20, 3)
D. (–∞, –20) ∪ (–20, ∞)

Find the domain of the function shown Write the answer in interval notation A 3 3 B 3 C 20 3 D 20 20 class=

Respuesta :

( - ∞, 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, ∞ )