Question

F(x)=3x−4g(x)=−x2+2x−5h(x)=2x2+1j(x)=6x2−8xk(x)=3x2−x+7 Calculate (fh)(x).

Answer 1

( f h ) (x) = 6 x² - 1

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