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Question 484123: what is the domain and range of the function ... f(x) = x/(x^2+6x)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! what is the domain and range of the function ... f(x) = x/(x^2+6x)
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Domain is a set of all possible inputs (x-values) for which the function is defined.
Range is a set of all possible outputs (y-values)
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f(x)=x/(x^2+6x)
x/x(x+6)
To find the domain, set denominator=0, then solve for x
x+6=0
x≠-6
x≠0
Domain: (-∞,-6) U (-6, 0) U (0, ∞)
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Note that the x-axis or y=0 is an asymptote of given function, so 0 is not within the range.
Range: (-∞, 0) U (0, ∞)
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