Let f(x) = x^2 and g(x) = 2x. (Enter your answer using interval notation.)
f ∘ g
=
Find the composite function.
(f ∘ g)(x) =
what intervals are involved?
(f∘g)(x) = f(g) = f(2x) = (2x)^2
To find the composite function (f ∘ g)(x), we need to substitute the expression g(x) into the function f(x):
(f ∘ g)(x) = f(g(x))
Given that f(x) = x^2 and g(x) = 2x, we can substitute g(x) into f(x):
(f ∘ g)(x) = f(2x) = (2x)^2 = 4x^2
Hence, the composite function (f ∘ g)(x) is equal to 4x^2.