SOLUTION: how would you factor out this rational function and find the domain, and simplify it to its lowest terms ? f(x)= 2x^2-10x/4x^2-100

Question 537909: how would you factor out this rational function and find the domain, and simplify it to its lowest terms ?
f(x)= 2x^2-10x/4x^2-100
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Factor an x from the numerator.
The denominator is the difference of squares and can be factored: .
=
Notice that if you were to substitute in the denominator of the simplified solution, you would have division by zero, which is a no-no in math. Also note that if you were to substitute or in the denominator of the given function, you would have division by zero, so and are not allowed.
The domain (all allowable values of x) is all real numbers except 5 and -5.
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