Question

Evaluate (hog)(2)
h(a) =0? - 5
g(a)=-40

4
59
0
139

Answer 1

We conclude that:

• (hog)(2) = 59

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:

• (hog)(2) = 59