For the given functions f and g, find the requested composite function value.

f (x) = 17x2 - 9x, g (x) = 12x - 9; Find (f ∘ g) (11).

A. 232,599

B. 256,086

C. 23,487

D. 240,834

B. 256,086

Step-by-step explanation:

Given two function

f (x) = 17x² - 9x, g (x) = 12x - 9;

fg can also be written as fg (x)

Since g (x) = 12x-9

fg (x) = f (12x-9)

This means that the variable x in f (x) will be replaced as 12x-9

If f (x) = 17x²-9x

f (12x-9) = 17 (12x-9) ²-9 (12x-9)

fg (x) = 17 (12x-9) ²-9 (12x-9)

fg (x) at x = 11 will give:

fg (x) (11) = 17{12 (11) - 9}²-9{12 (11) - 9}

fg (x) (11) = 17 (132-9) ²-9 (132-9)

fg (x) (11) = 17 (123) ² - 9 (123)

fg (x) (11) = 17 (15129) - 1107

f{g (x) } (11) = 257193-1107

f{g (x) } (11) = 256,086