If f(x) = x^2 and g(x) = x^4, find f(g(x))

To find f(g(x)), we need to substitute g(x) into the function f(x).

We know that:

• f(x) = x^2
• g(x) = x^4

Now, we can substitute g(x) into f(x):

f(g(x)) = f(x^4)

This means we replace x in f(x) with x^4:

f(g(x)) = (x^4)^2

When we simplify this, we get:

(x^4)^2 = x^{4*2} = x^8

So, the final answer is:

f(g(x)) = x^8