If f (x) = - x - 2 and g (x) = x2, what is (gºf) (-6) ?

16

Step-by-step explanation:

(gºf) (x) involves using function f as the input to function g and is called a "composition."

g (x) = x^2, so if we use f (x) = - x - 2 as input, we get

(gºf) (x) = (-x - 2) ^2.

At x = - 6, we have:

(gºf) (-6) = (-[-6] - 2) ^2 = 4^2 = 16