SOLUTION: Find the domain of the function. If the domain can be specified by only one interval, use (NONE, NONE) for the second interval. f(x)=x^4/(x^2+x-56) thanks for your help!

Algebra ->  Functions -> SOLUTION: Find the domain of the function. If the domain can be specified by only one interval, use (NONE, NONE) for the second interval. f(x)=x^4/(x^2+x-56) thanks for your help!      Log On


   



Question 197801:
Find the domain of the function. If the domain can be specified by only one interval, use (NONE, NONE) for the second interval.
f(x)=x^4/(x^2+x-56)
thanks for your help!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the domain of the function. If the domain can be specified by only one interval, use (NONE, NONE) for the second interval.
f(x)=x^4/(x^2+x-56)
Factor where you can to get:
f(x) = x^4/[(x+8)(x-7)]
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Domain?
The denominator cannot be zero, so x cannot be -8 or 7
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Domain is (-inf,-8)U(-8,7)U(8,+inf)
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Cheers,
Stan H.