Find the domain of the function:

f (x) = 2x/x^2-4

see explanation

Step-by-step explanation:

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

x² - 4 = 0 ⇒ x² = 4 ⇒ x = ± 2 ← excluded values

domain : x ∈ R, x ≠ ± 2