Choose the one alternative that best completes the statement or answers the question.
Write the domain in interval notation.
-$$f ( x ) = \frac { 16 x } { x ^ { 2 } + 100 }$$
A) $( - \infty , - 10 ) \cup ( - 10,10 ) \cup ( 10 , \infty )$
B) $( - \infty , 0 ) \cup ( 0 , \infty )$
C) $( - \infty , \infty )$
D) $( - \infty , 10 ) \cup ( 10 , \infty )$

Question

Quizplus · Accepted Answer

The domain of $f(x) = \frac{16x}{x^2 + 100}$ includes all real numbers because the denominator $x^2 + 100$ is never zero for any real number $x$. The expression $x^2 + 100$ is always positive, so there are no restrictions on $x$.

Choose the One Alternative That Best Completes the Statement or Answers