Answer
continuous on $(-\infty, \infty)$
Work Step by Step
$F(x)=\displaystyle \frac{2x^{2}-x-1}{x^{2}+1}$ is a rational function.
Its domain is $(-\infty, \infty)$
(no x yields zero in the denominator).
By theorem 5
(b) Any rational function is continuous wherever it is defined;
that is, it is continuous on its domain.
