Answer
Domain : $[-\infty, \infty]$ and Range: $[-\dfrac{3 \pi}{2}, \dfrac{3 \pi}{2}]$
Work Step by Step
The multiplication the inverse tangent curve by $-3$ results in tripling the range of the curve. The domain remains the same.
Therefore, we have the Domain and Range of the function as follows:
Domain : $[-\infty, \infty]$ and Range: $[-\dfrac{3 \pi}{2}, \dfrac{3 \pi}{2}]$