If f (x) = -x+8 and g (x) = x², what is (g⁰f) (6) ?

4

Step-by-step explanation:

there are two ways to find the answer

the easiest one (based on me)

(g o f) (6) = g (f (6))

so first find f (6) and take the result and put in g (x)

f (6) = - 6 + 8 = 2

g (2) = 2² = 4

the normal way

(g o f) (x) = g (f (x)) = (f (x)) ² = (-x + 8) ²

(g o f) (x) = x² - 16x + 64

(g o f) (6) = 6² - 16 (6) + 64 = - 60 + 64 = 4