Question 183027
Since you can plug in ANY number in for "x", this means that the domain is all real numbers. Note: there are no restrictions like dividing by zero or taking the square root of a negative number to worry about here.



So the domain of the function in set-builder notation is:



*[Tex \LARGE \textrm{\left{x|x\in\mathbb{R}\right}}]



In plain English, this reads: x is the set of all real numbers (In other words, x can be <b>any</b> number)



Also, in interval notation, the domain is:


*[Tex \Large \left(-\infty,\infty \right)]




Note: if you graph {{{f(x)=abs(4x+6)}}}, you'll see that the graph extends infinitely in both directions along the x-axis. So this shows you that any "x" value will work.