Question

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

Answer 1

A

Explanation:

Given

f(x) =
`(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 = -
`(2)/(3)` ← excluded value

Then

domain is ( - ∞ , -
`(2)/(3)` ) U ( -
`(2)/(3)`, ∞ ) → A