If the function `f: R->R` be given by `f(x)=x^2+2` and `g: R->R` be given by `g(x)=x/(x-1)` . Find `fog` and `gof` .

Explanation

To solve the problem, we need to find the compositions of the functions \( f \) and \( g \). We will compute \( f \circ g \) (denoted as \( fog \)) and \( g \circ f \) (denoted as \( gof \)) step by step.

### Step 1: Define the Functions
We have the following functions defined:
- \( f(x) = x^2 + 2 \)
- \( g(x) = \frac{x}{x - 1} \)

### Step 2: Find \( f \circ g \) (i.e., \( fog \))
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