Let `f:[0, 1] rarr [0, 1]` be defined by `f(x) = (1-x)/(1+x), 0lexle1` & `g:[0,1]rarr[0,1]` be defined by `g(x)=4x(1-x), 0lexle1`
Determine the functions `fog` and `gof`.
Note that `[0,1]` stands for the set of all real members `x` that satisfy the condition `0lexle1`.

Explanation

To determine the functions \( f \circ g \) and \( g \circ f \), we will follow these steps:

### Step 1: Define the Functions
We have two functions defined as follows:
- \( f(x) = \frac{1-x}{1+x} \) for \( x \in [0, 1] \)
- \( g(x) = 4x(1-x) \) for \( x \in [0, 1] \)

### Step 2: Compute \( f \circ g \)
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