Answer:
(f οg )(x) = 27 x² -36 x + 53
Step-by-step explanation:
Explanation:-
Given the function f(x) = 3 x² +5 and g(x) = 3x-4
(f οg )(x) = f(g(x)
= f(3x-4)
= 3 ( 3x-4)² +5 ( ∵ f(x) = 3 x² +5)
= 3 ( 9 x² - 2(3x)(4)+(4)²) +5
= 3 ( 9 x² -12 x + 16) +5
= 27 x² -36 x + 48 +5
= 27 x² -36 x + 53
Final answer:-
(f οg )(x) = 27 x² -36 x + 53
