Question

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

Answer 1

4

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