SOLUTION: what is the domain of f(x)=-√3-2x
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Question 280861: what is the domain of f(x)=-√3-2x
Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
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.
And the domain is read clearly as (-infinity,3/2]
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