I believe it is because there are no x factors in the numerator but unsure.

If we set the denominator equal to zero and solve for x, we won't get a real solution. Therefore, the graph does not have any vertical asymptotes. Therefore, the function is continuous.

x

^{2}+ 4 = 0x

^{2}= -4x = 2i and x = -2i

These solutions are complex.