Math  /  Algebra

Question Find the domain and range of the function f(x)=4x23xf(x) = \frac{-4}{x^2 - 3x}.

Studdy Solution
The range of the function is all real numbers except f(x)0 f(x) \neq 0 . We can express this in interval notation as:
Range=(,0)(0,) \text{Range} = (-\infty, 0) \cup (0, \infty)
The domain and range of the function f(x)=4x23x f(x) = \frac{-4}{x^2 - 3x} are:
Domain: (,0)(0,3)(3,) (-\infty, 0) \cup (0, 3) \cup (3, \infty)
Range: (,0)(0,) (-\infty, 0) \cup (0, \infty)

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