Answer:
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
