To create a composition of functions where the result is 4, we can define two functions, $f(x)$ and $g(x)$, and find their composition, $(f \circ g)(x) = f(g(x))$, such that the output is 4 for some value of $x$.

Let's define:

• $f(x) = x + 2$
• $g(x) = 2$

Now, find $(f \circ g)(x)$, meaning $f(g(x))$.

$f(g(x)) = f(2) = 2 + 2 = 4$

Thus, $(f \circ g)(x) = 4$.

Summary:

The composition function $(f \circ g)(x)$ results in 4 when:

• $f(x) = x + 2$
• $g(x) = 2$

Would you like more details or have any questions about function composition?

Here are 5 related questions:

1. What is the domain and range of $f(x) = x + 2$?
2. How does the composition of functions relate to their individual domains?
3. What happens if we reverse the order, $g(f(x))$?
4. Can we create a composition function with multiple steps to get the same result?
5. How do we generalize this process for any target output?

Tip: When composing functions, always check the domain of the inner function to ensure the composition is valid!