To solve for f(g(x)) when x = 2, we first need to find g(2) using the function g(x).
Given that g(x) = 2x + 3, we can substitute x with 2:
g(2) = 2(2) + 3 = 4 + 3 = 7
Now that we have g(2), we can find f(g(2)) which is f(7). We use the function f(x) = x^4 to calculate this:
f(7) = 7^4
Calculating 7^4, we have:
7^4 = 2401
Therefore, when x = 2, f(g(x)) equals 2401.
Answer: f(g(2)) = 2401