Question

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

Answer 1

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