Answer: To find (g∘f)(x), we need to first find the composite function g(f(x)):
g(f(x)) = g(2x - 2)
We can now substitute the expression for f(x) into g(x):
g(f(x)) = g(2x - 2) = 6(2x - 2)^2 - 3
Expanding the squared term, we get:
g(f(x)) = 6(4x^2 - 8x + 4) - 3
Simplifying and combining like terms, we get:
g(f(x)) = 24x^2 - 48x + 21
Therefore, (g∘f)(x) = 24x^2 - 48x + 21.
Explanation: