SOLUTION: Please help me solve this equation: Find the domain of f, if f(x)=x=1 over x^3-4x The answer is: All real numbers except -2, 0, and 2

Question 668510: Please help me solve this equation:
Find the domain of f, if f(x)=x=1 over x^3-4x
The answer is:
All real numbers except -2, 0, and 2

Found 2 solutions by swincher4391, ewatrrr:
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!

What is our domain of f? Well, maybe a better question is to ask what ISN'T in our domain of f? The only way for f(x) to be undefined. And how is f(x) undefined? We have some sort of division by 0. So, focus on the denominator for a minute.
Find all x such that
x^3-4x = x(x^2-4) = x(x-2)(x+2) so x = 0, 2, -2 are where our function is not defined.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

Hi,

Denominator x(x^2 - 4) CANNOT = 0
this happens IF x = -2, 0, 2
Therefore Domain is All real numbers except -2, 0, and 2
RELATED QUESTIONS
Please help me solve this equation {{{f(x)=(x^2-x-12)/(x-2)}}} Find: (x+3)(x-4)/x-2... (answered by longjonsilver)
what is the domain of the function defined by: f(x)= x+5/ x2- 4x ? And the solutions... (answered by user_dude2008)
The domain of the function f(x)=282x−19 is all real numbers except... (answered by ikleyn)
The domain of the function f(x)=28/12x−19 is all real numbers except... (answered by ikleyn)
The domain of the function f(x)=32/( 7x−35) is all real numbers except for.... (answered by MathLover1)
What is the domain of the function f(x) = x^(1/2) ? a. all real numbers b. all... (answered by tutorcecilia)
What is the domain of the function f(x) = x^(1/2) ? a. all real numbers b. all real (answered by stanbon)
Please help me solve the following equation: Which real numbers are not in the domain... (answered by stanbon)
Please help with the equations. Find all of the real zeros of the polynomial function, (answered by ewatrrr)