Find the range of `f(x)=|3tan^(-1)x-cos^(-1)(0)|-cos^(-1)(-1)dot`

Explanation

To find the range of the function \( f(x) = |3\tan^{-1}(x) - \cos^{-1}(0)| - \cos^{-1}(-1) \), we will break down the components of the function step by step.

### Step 1: Evaluate \( \cos^{-1}(0) \) and \( \cos^{-1}(-1) \)
- We know that \( \cos^{-1}(0) = \frac{\pi}{2} \) and \( \cos^{-1}(-1) = \pi \).

### Step 2: Substitute the values into the function
- Now, substituting these values into the function, we have:
\[
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