Let `f : R rarr R` be defined by `f(x) = x^(2) + 3x + 1` and `g : R rarr R` is defined by g(x) = 2x - 3, Find,
(i) fog
(ii) gof

Explanation

To solve the problem, we need to find the compositions of the functions \( f \) and \( g \). The functions are defined as follows:

- \( f(x) = x^2 + 3x + 1 \)
- \( g(x) = 2x - 3 \)

We need to find \( f \circ g \) (denoted as \( fog \)) and \( g \circ f \) (denoted as \( gof \)).

### Step 1: Find \( f \circ g \)
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