SOLUTION: i need to make sure I did this one right. Find the domain the function. {{{h(x)=x-3/x^3-16x}}} my answer is (-oo,-4)(-4,0)(0,-4)(4,oo)

Algebra ->  Functions -> SOLUTION: i need to make sure I did this one right. Find the domain the function. {{{h(x)=x-3/x^3-16x}}} my answer is (-oo,-4)(-4,0)(0,-4)(4,oo)      Log On


   



Question 101478: i need to make sure I did this one right. Find the domain the function. h%28x%29=x-3%2Fx%5E3-16x my answer is (-oo,-4)(-4,0)(0,-4)(4,oo)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the domain the function. h(x)=(x-3)/(x^3-16x)
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The denominator cannot be zero:
x^3-16x=0
x(x^2-16)=0
x(x-4)(x+4)=0
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the domain is all real Numbers except x=0,x=4,x=-4
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You have it right except for the x=0.
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Cheers,
Stan H.