By undestanding the theory behind rational functions and functional theory, we conclude that the function have:
Domain: (- ∞, - 3) ∪ (- 3, + ∞)
Range: (- ∞, 0) ∪ (0, + ∞)
How to determine the domain and the range
In this question we have a rational function and we must determine its domain and range, whose elements exist if and only if the denominator evaluated at respective point is distinct of zero. Graphically speaking, the domain of the function represents the set of x-values, whereas the range represents the set of y-values.
By a graphing tool (i.e. Desmos) we construct the rational function and derive the following conclusions:
Domain: (- ∞, - 3) ∪ (- 3, + ∞)
Range: (- ∞, 0) ∪ (0, + ∞)
By undestanding the theory behind rational functions and functional theory, we conclude that the function have:
Domain: (- ∞, - 3) ∪ (- 3, + ∞)
Range: (- ∞, 0) ∪ (0, + ∞)
To learn more on rational functions: https://brainly.com/question/27914791
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