Question 280861
Is 3-2x under the root symbol? If so:

Note that square root functions are always greater than or equal to 0.

-sqrt(3-2x)>=0.

For it to equal zero we need 3-2x=0 
so 3/2-x. This is where we will plot the first point in a graph. Second, we note that the negative square root function will be a reflection over the x-axis, this has no effect on the domain.

Now we need 3-2x>0 so this means -2x>-3 which implies x<3/2. So you now have enough information to graph this function.

{{{ graph( 300, 200, -6, 5, -10, 10, -sqrt(3-2x)) }}}


And the domain is read clearly as (-infinity,3/2]