Question

y=1/2√x
find the domain
Help please

Answer 1

i am pretty sure it is 0 to infinity

Answer 2

actually im positive.

Answer 3

thanks but its different problems similar to this i need to know how to do it for example y=3√x/3

Answer 4

not sure what is up with all the question marks but is the equation y=3x/3 ?? if so the 3's would cancel and you are left with y=x and the domain is -infinity to +infinity

Answer 5

oh and no it has a square root in the problem

Answer 6

y=3√(x/3) ?

Answer 7

@teetee4455
or \(3\sqrt{\dfrac{x}{3}} ?\)

Answer 8

@mathmate
was just about to ask that or is it sqrt(x)/3

Answer 9

yes i didnt know how to make that sign @mathmate

Answer 10

then it is 0 to positive infinity

Answer 11

In both cases, the domain is limited by the square-root sign.
The content of the square-root radical must not be negative, or else the result will be complex (or imaginary).
For that not to happen, x must be greater than zero, which makes dom [0,inf).

Answer 12

basically what @mathmate said. in your head plug in numbers starting at 0 for x and then divide by 3 and multiply that by the outside 3. it has to be 0 or greater otherwise you have to deal with i which is imaginary

Answer 13

I understand thanks to the both of you much help @mathmate @clickspiker23

Answer 14

you're welcome, Teetee! :)