Answer:
( f h ) (x) = 6 x² - 1
Step-by-step explanation:
Step(i):-
Given f(x) = 3 x - 4
g (x) = −x²+2 x−5
h (x) = 2 x² + 1
j (x) = 6 x + 2 - 8 x
K (x) = 3 x² - x + 7
Step(ii):-
( f h ) (x) = f ( h (x)) = f ( 2 x² + 1 )
= 3 (2 x² + 1 ) - 4
= 3 ((2 x² ) + 3 - 4
= 6 x² - 1
Final answer:-
∴ ( f h ) (x) = 6 x² - 1
