Find the domain of `f(x)=cos^(-1)x+cosx` .

Explanation

To find the domain of the function \( f(x) = \cos^{-1}(x) + \cos(x) \), we need to consider the domains of both components of the function: \( \cos^{-1}(x) \) (the inverse cosine function) and \( \cos(x) \) (the cosine function).

### Step-by-Step Solution

1. **Identify the domain of \( \cos^{-1}(x) \)**:
- The inverse cosine function \( \cos^{-1}(x) \) is defined for \( x \) in the interval \([-1, 1]\). This means that for any value of \( x \) outside this interval, \( \cos^{-1}(x) \) will not be defined.

2. **Identify the domain of \( \cos(x) \)**:
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