Answer:
f(g(x)) = 48x² + 48x + 11
Explanation:
f(g(x)) = f(4x + 2)
Solve for f(4x + 2).
f(x) = 3x² - 1
f(4x + 2) = 3(4x + 2)² - 1
f(4x + 2) = 3(4x + 2)(4x + 2) - 1
f(4x + 2) = 3(16x² + 16x + 4) - 1
f(4x + 2) = 48x² + 48x + 12 - 1
f(4x + 2) = 48x² + 48x + 11