Question

The domain of the function f(x) = x -1 + 6-x is
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Answer 1

Answer:

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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)

..

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, ∞)

..

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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