Given
[tex]f(x)=\frac{2}{3x+4}[/tex]
Find
Domain of the function
Explanation
domain is a set of all x values.
so ,
[tex]\begin{gathered} 3x+4\ne0 \\ 3x\ne-4 \\ x\ne-\frac{4}{3} \end{gathered}[/tex]Hence, domain = all values except -4/3
so ,
[tex](-\infty,-\frac{4}{3})\cup(-\frac{4}{3},\infty)[/tex]Final ANswer
Therefore , the domain of the function is
[tex](-\infty,-\frac{4}{3})\cup(-\frac{4}{3},\infty)[/tex]
