Answer
(g o f)(9) = 27
Step-by-step explanation
We are given that
f(x) = x - 14
g(x) = x² + 2x + 12
We are then told to find (g o f)(9)
(g o f)(x) refers to writing g(x), but instead of x, we will replace x by f(x).
That is,
(g o f)(x)
= g(f(x))
= [f(x)]² + 2 [f(x)] + 12
= (x - 14)² + 2 (x - 14) + 12
= x² - 28x + 196 + 2x - 28 + 12
= x² - 26x + 180
So, for (g o f) (9), we will substitute 9 for x
(g o f)(x) = x² - 26x + 180
(g o f)(9) = 9² - 26(9) + 180 = 81 - 234 + 180 = 27
Hope this Helps!!!