Question

How would you get the domain of a problem like 4x/(x-3) ?

Answer 1

Given:

`R(x)=(4x)/(x-3)`

Domain : Domain of function is define as a all possible input value for the function not consider which types of input that contain infinity of undefine from of function.

So:

`(4x)/(x-3)`

Here

`\begin{gathered} x-3\\e0 \\ x\\e3 \end{gathered}`

Domain is:

`\mleft\lbrace x\in R\colon x\\e3\mright\rbrace`

Function acepect all real value but at x=3 the function is undefine form.