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

(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