Determine the values of `x` for which `f(x)=(x-2)/(x+1)x!=-1` is increasing or decreasing

Explanation

To determine the values of \( x \) for which the function \( f(x) = \frac{x-2}{x+1} \) is increasing or decreasing, we will follow these steps:

### Step 1: Find the derivative of \( f(x) \)

We will use the quotient rule for differentiation, which states that if \( f(x) = \frac{u}{v} \), then:

\[
f'(x) = \frac{v \cdot u' - u \cdot v'}{v^2}
...