Describe fog and gof wherever is possible for the following functions
(i) `f(x)=sqrt(x+3),g(x)=1+x^(2)` (ii) `f(x)=sqrt(x),g(x)=x^(2)-1`

Explanation

To solve the given problem, we need to find the compositions \( f \circ g \) and \( g \circ f \) for the provided functions. Let's break this down step by step for both parts of the question.

### Part (i)
Given:
- \( f(x) = \sqrt{x + 3} \)
- \( g(x) = 1 + x^2 \)

**Step 1: Determine the domain of \( f(x) \)**
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