# What is the domain and range of arccos(x-1)?

Oct 15, 2017

The argument of the inverse cosine function must be between the numbers -1 and 1, inclusive, therefore, , one must solve the inequality:

$- 1 \le x - 1 \le 1$

$0 \le x \le 2 \leftarrow$ this is the domain.
$0 \le y \le \pi \leftarrow$ this is the range.