SOLUTION: I need to find the domain of this given function. f(x)= |4x+6|

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Question 183027: I need to find the domain of this given function.
f(x)= |4x+6|

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
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:





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


Also, in interval notation, the domain is:





Note: if you graph f%28x%29=abs%284x%2B6%29, 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.