Given the functions k(x) = 5x − 8 and p(x) = x − 4, solve k[p(x)] and select the correct answer below.
a. k[p(x)] = 5x − 12
b. k[p(x)] = 5x − 28
c. k[p(x)] = 5x2 − 12
d. k[p(x)] = 5x2 − 28

k [p(x)] = 5x -28 .

Option (b) is correct .

Step-by-step explanation:

As given the expression in the questions are

k(x) = 5x - 8

p(x) = x - 4

k [p(x)] = k (x-4)

           = 5 × (x-4) -8

           =  5× x - 5 × 4 - 8

           = 5x - 20 - 8

           = 5x - 28

Thus

k [p(x)] = 5x -28

Therefore  k [p(x)] = 5x -28 .

Option (b) is correct .