Answer:
f(g(x)) = 12x² - 36x + 28
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
f(g(x) )
= f(2x - 3)
= 3(2x - 3)² + 1 ← expand factor using FOIL
= 3(4x² - 12x + 9) + 1 ← distribute parenthesis by 3
= 12x² - 36x + 27 + 1 ← collect like terms
= 12x² - 36x + 28
