Question

Find the domain of the function. Express the exact answer using interval notation. f(x)=2/3x+4

Answer 1

Given

`f(x)=(2)/(3x+4)`

Find

Domain of the function

Step-by-step explanation

domain is a set of all x values.

so ,

`\begin{gathered} 3x+4\\e0 \\ 3x\\e-4 \\ x\\e-(4)/(3) \end{gathered}`

Hence, domain = all values except -4/3

so ,

`(-\infty,-(4)/(3))\cup(-(4)/(3),\infty)`

Final ANswer

Therefore , the domain of the function is

`(-\infty,-(4)/(3))\cup(-(4)/(3),\infty)`