SOLUTION: {{{y= sqrt(9x-1) }}} i have to find the domain

Algebra ->  Functions -> SOLUTION: {{{y= sqrt(9x-1) }}} i have to find the domain      Log On


   

Question 481937: y=+sqrt%289x-1%29+
i have to find the domain
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Recall that you cannot take the square root of a negative number. So this means that the radicand (the stuff inside the square root) MUST be zero or positive.


So this means that 9x-1%3E=0


9x-1%3E=0 Start with the given inequality.


9x%3E=0%2B1 Add 1 to both sides.


9x%3E=1 Combine like terms on the right side.


x%3E=%281%29%2F%289%29 Divide both sides by 9 to isolate x.


----------------------------------------------------------------------

Answer:


So the domain is (basically, x is any number greater than or equal to 1%2F9)


The domain in interval notation is [)