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Determine the implied domain of the given function. Express in interval notation
(-4x^(2)-3x)/(2)

Why can't x be any real or complex number?

THat's what the assignment says. I don't understand it

The domain of x goes from -infinity to + infinity.

f(x) = - (4x^2+3x)/2 =(-1/2)x(4x+3)
sketch a graph

x f(x)
-oo -oo
-3 -13.5
-2 -5
-1 -1/2
-3/4 0
-1/2 +.25
0 0
+1 -7/2
+oo -oo

it's domain is fine for all real x
On the other hand the range is limited and never gets higher than 9/32 at x = -3/8

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