Let `f: {1, 3, 4}-> {1, 2, 5}`and `g: {1, 2, 5} ->{1, 3}` be given by `f = {(1, 2), (3, 5), (4, 1)}` and `g = {(1, 3), (2, 3), (5, 1)}`.
Write down `gof`.

Explanation

To find the composition of the functions \( g \) and \( f \), denoted as \( g \circ f \), we will follow these steps:

### Step 1: Identify the functions
We have two functions:
- \( f: \{1, 3, 4\} \to \{1, 2, 5\} \) defined by \( f = \{(1, 2), (3, 5), (4, 1)\} \)
- \( g: \{1, 2, 5\} \to \{1, 3\} \) defined by \( g = \{(1, 3), (2, 3), (5, 1)\} \)

### Step 2: Calculate \( g(f(x)) \) for each \( x \) in the domain of \( f \)
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