Answer:
We conclude that:
Step-by-step explanation:
Given
h(a) = a² - 5
g(a) = -4x
To determine
(hog)(2)
Using the formula
(hog)(2) = h(g(2))
First determining the g(2)
substitute x = 2 in g(a) = -4x
g(a) = -4x
g(2) = -4(2) = -8
so
(hog)(2) = h(g(2)) = h(-8)
now determining the h(-8)
substitute x = -8 in h(a) = a² - 5
h(a) = a² - 5
h(-8) = (-8)² - 5
h(-8) = 64 - 5
h(-8) = 59
so
(hog)(2) = h(g(2)) = h(-8) = 59
Therefore, we conclude that:
