Answer
Domain : $[-1,1]$ and Range: $[\dfrac{\pi}{2}, \dfrac{3\pi}{2}]$
Work Step by Step
A vertical shift of $\dfrac{\pi}{2}$ results in shifting the range of the inverse cosine curve upwards by an angle of $\dfrac{\pi}{2}$. The domain remains the same.
Therefore, we have the Domain and Range of the function as follows:
Domain : $[-1,1]$ and Range: $[\dfrac{\pi}{2}, \dfrac{3\pi}{2}]$