If h(x) = 4x − 8 and j(x) = −x, solve h[j(3)] and select the correct answer below.
a. −36
b. −20
c. 1
d. 4

Option (b) is correct.

h[j(3)] = -20

Step-by-step explanation:

Given :  h(x) = 4x − 8 and j(x) = −x

We have to solve for h[j(3)]  and choose the correct option from given options.

Function composition is  when one function is inside of another function and we evaluate the value of a function by plug one into into another function.

Consider , the given functions  h(x) = 4x − 8 and j(x) = −x

h[j(3)]  is defined as h[j(x)] at x = 3

First we find h[j(x)] and then substitute x = 3 .

h[j(x)] = h(-x)

Thus, find h(x) when x = -x

We get , h(-x) =  4(-x) − 8

Now put x = 3, we get,

h[j(3)]=h[-3] = 4(-3) - 8  = -12 - 8 = -20

Thus, h[j(3)] = -20

Option (b) is correct.