Answer
See graph.
$(-\infty,\infty)$, $[-\frac{9}{5},\frac{9}{5}]$.
Work Step by Step
Step 1. See graph for $y=\frac{9}{5}cos(-\frac{3\pi}{2}x)$ with key points or transform from $y=cos(x)$ (shrink horizontally by a factor of $\frac{2}{3\pi}$, reflect across the y-axis, then stretch vertically by a factor of $\frac{9}{5}$.)
Step 2. Based on the graph, we can determine the domain as $(-\infty,\infty)$ range as $[-\frac{9}{5},\frac{9}{5}]$.
