Final answer:
If f (x) = -x + 8 and g (x) = x , the composition (g ° f) (2) is equal to 6.
Step-by-step explanation:
To find (g ° f) (2), we need to first find the composition of the functions g and f. The composition of two functions, denoted as (g ° f), means that the output of f is used as the input for g.
Using the given functions, g(x) = x and f(x) = -x + 8, we substitute f(x) into g(x) to find (g ° f) (x):
(g ° f) (x) = g(f(x)) = g(-x + 8) = -x + 8.
Now, to find (g ° f) (2), we substitute x = 2 into the composition:
(g ° f) (2) = -2 + 8 = 6.
Therefore, the correct answer is 6. So none of the given options can be selected as the correct answer.