SOLUTION: find the domain of the function. h(x)= x-1/x^3-25x

Algebra ->  Functions -> SOLUTION: find the domain of the function. h(x)= x-1/x^3-25x       Log On


   

Question 636646: find the domain of the function. h(x)= x-1/x^3-25x
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
I guess you have this:
h%28x%29=+%28x-1%29%2F%28x%5E3-25x%29
h%28x%29=+%28x-1%29%2Fx%28x-25%29.......The domain of a function is that set of values for which the function is defined. In the case of a rational function like this one, the domain is all real numbers EXCEPT any number that would make the denominator equal to zero. Set the denominator equal to zero and solve to find the value(s) that must be excluded from the domain.

x%28x%5E2-25%29=0....this product of monomial and binomial will be equal to zero if either one of them is equal to zero
if x=0...->...x%28x%5E2-25%29=0
or if %28x%5E2-25%29=0...x%5E2=25....x1%2C2=%2B-5...or x=5 and x=-5}
your solutions:
the domain of the function is