SOLUTION: h(x)= x-3/x^3-4x What is the domain of the function

Algebra.Com
Question 200612: h(x)= x-3/x^3-4x
What is the domain of the function

Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!

.
Domain specifies the values 'x' can take.
The only thing we have to worry about is if the denominator goes to zero.
.
So, set the denominator to zero and solve for x:
x^3-4x = 0
x(x^2-4) = 0
.
So, the denominator goes to zero if:
x=0 or x^2-4=0
.
Therefore,
x = all real numbers EXCEPT: x=0, x=-2, x=2

RELATED QUESTIONS

what is the domain and range of the function h(x)=... (answered by fractalier)
What is the range of the function f(x)=4x-3 if the domain is... (answered by stanbon)
What is the range of the function f(x)=4x-3 if the domain is... (answered by stanbon)
What is the domain of the function... (answered by tommyt3rd)
Find the domain of the function. h(x) = ln[(x^2)/(x-4)] What I have tried on the... (answered by solver91311)
Find the domain of the function h given by h(x)= 2x=3 _____ x^2-9 (answered by stanbon)
what is the domain:... (answered by ReadingBoosters)
find the domain of the function: h(x)=... (answered by solver91311)
find the domain of the function. h(x)= x-1/x^3-25x (answered by MathLover1)