# Math Help - Finding Domain & Range

1. ## Finding Domain & Range

Hi
How would you find the domain and range of $cos^{-1}(x^2)$ if the domain of cos(x) is restricted to $[0,\pi]$.

P.S

2. Hello Paymemoney
Originally Posted by Paymemoney
Hi
How would you find the domain and range of $cos^{-1}(x^2)$ if the domain of cos(x) is restricted to $[0,\pi]$.

P.S
In Britain, the inverse cosine function is almost always written as $\cos^{-1}$, whereas $\arccos$ is widely used elsewhere. Since I posted my original answer, it occurred to me that I interpreted $\cos^{-1}(x^2)$ as the inverse cosine of $x^2$, whereas the question might mean $\Big(\cos(x^2)\Big)^{-1} =\frac{1}{\cos(x^2)}$. Also, I am not clear how the domain of $\cos(x)$ being restricted to $[0,\pi]$ is relevant.