Question

Let f(x)= -x-1 and g(x)=x^2+2 find (f•g)(6)

Answer 1

To find (f•g)(6), first calculate g(6), which is 6² + 2 = 38, then apply f to this result, which gives f(38) = -38 - 1 = -39. Thus, (f•g)(6) is -39.

Step-by-step explanation:

The question asks us to find the result of the composition of two functions (f•g)(x)) when x=6.

The composition of functions requires us to first apply the inner function (g) and then use the result as the input for the outer function (f).

1. Firstly, calculate g(6):
   g(6) = 6² + 2 = 36 + 2 = 38.
2. Next, apply the result from step (1) to function f:
   f(g(6)) = f(38) = -(38) - 1 = -38 - 1 = -39.

Therefore, (f•g)(6) equals -39.