SOLUTION: Please help me answer the followig question. They are asking for the domain of the following: l(x)=2x+3 There are others like it, but if you can help me solve this one in steps,

Algebra ->  Functions -> SOLUTION: Please help me answer the followig question. They are asking for the domain of the following: l(x)=2x+3 There are others like it, but if you can help me solve this one in steps,       Log On


   



Question 143030: Please help me answer the followig question. They are asking for the domain of the following: l(x)=2x+3 There are others like it, but if you can help me solve this one in steps, Im sure I can figure the rest out on my own.
Thank you in advance for your help.
Jennifer

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

Looking at y=2x%2B3, we can see that there are no square roots, logs, and other functions where there are restrictions on the domain.

Also, we can see that the function does not have a division by x (or any combination of variables and constants).
So we don't have to worry about division by zero.


Since we don't have any restrictions on the domain, this shows us that the domain is all real numbers. In other words, we can plug in any number in for x




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: