To find the value of f(g(144)), we will first need to evaluate g(144) and then use that result to evaluate f.
1. Start with the function g(x) = 2x. We will substitute 144 for x:
g(144) = 2 * 144
This gives us:
g(144) = 288
2. Next, we’ll plug this result into the function f(x) = x^12:
f(g(144)) = f(288) = 288^12
3. Now, we need to calculate 288^12. This is a significantly large number, so it is typically computed using a calculator or a programming language for precision:
288^12 = 12,220,032,166,384,180,188,496,843,680,000
So the final answer is:
f(g(144)) = 12,220,032,166,384,180,188,496,843,680,000