SOLUTION: what is the domain and range of the function ... f(x) = x/(x^2+6x)
Algebra.Com
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)
***
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, ∞)
RELATED QUESTIONS
what is the domain and range of the function.... f(x)= 4/x +... (answered by lwsshak3)
what is the domain and range of th following function... (answered by jim_thompson5910)
Consider the function f(x)= 3/x^2 what is the domain and range of f(x) (interval... (answered by math_tutor2020)
Find the domain and range of the function:... (answered by ikleyn)
what is the domain and range of the function... f(x)= square root of (9-x^2)/... (answered by chessace)
what is the domain and the range of the function g(x)?
g(x) =... (answered by solver91311)
What is the range of function {{{f(x) = x^2 + 1}}}, when the domain is... (answered by funmath)
what is the domain and range for the function {{{ f(x) = sqrt(x-3) + 2... (answered by mouk)