Question

Find the Domain and range and graph.
\[y=1/2\sqrt{x}+3\]

Answer 1

is it
\[\frac{1}{2\sqrt x}||\frac{1}{2}\sqrt x\]

Answer 2

im not sure what you're asking

Answer 3

domain is easy just look at the denominator and figure out what makes it equal 0 you can't divide by 0

to find the range just convert it to its inverse (if it has an inverse) and use that to determine the range

Answer 4

you cant take the square root of a negative number either so that is another limitation on your domain

Answer 5

since this only has positive numbers it is clear that it passes the horizontal line test so you can take the inverse to find its range

Answer 6

@cuddlepony so i set y to 0?

Answer 7

no

Answer 8

the denominator of the function cannot equal 0 because oyu cannot divide by zero thus any x value that renders the denominator 0 is not in the domain. Furthermore, you have a radical, you can't take the square root of a negative number thus it limits your domain further.

Answer 9

to find the range just find the inverse of your function (if possible) and determine its domain as that will provide you with your range

Answer 10

I don't understand how to get the domain then, it can't equal 2?

Answer 11

is this your function?

Answer 12

nope.