Question

Help!!! Find the domain of the function. Write the answer in interval notation.

Answer 1

Answer:

A

Step-by-step explanation:

Given

f(x) = $\frac{2}{3x+2}$

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - $\frac{2}{3}$ ← excluded value

Then

domain is ( - ∞ , - $\frac{2}{3}$ ) U ( - $\frac{2}{3}$, ∞ ) → A