Let `f : {2, 3, 4, 5}-> {3, 4, 5, 9}`and `g : {3, 4, 5, 9} ->{7, 11 , 15}`be functions defined as `f (2) = 3`, `f (3) = 4`, `f (4) = f (5) = 5`and `g (3) = g (4) = 7`and `g (5) = g(9)=11. Find gof.

Explanation

To find the composite function \( g \circ f \), we need to evaluate \( g(f(x)) \) for each \( x \) in the domain of \( f \). Let's break this down step by step.

### Step 1: Identify the functions
We have two functions defined as follows:
- \( f: \{2, 3, 4, 5\} \to \{3, 4, 5, 9\} \)
- \( f(2) = 3 \)
- \( f(3) = 4 \)
- \( f(4) = 5 \)
...