Which of the function dominates as $x \to \infty$? $$y = \displaystyle \frac{22}{x^{-45}}\quad\mbox{or}\quad y = 4 e^x$$

A. $y = \frac{22}{x^{-45}}$ dominates.
B. $y = 4 e^{x}$ dominates.
C. Its a tie since they increase at the same rate.
D. It cannot be determined.