Question

Two companies are merging to become one large corporation. The number of employees at company A is given by f(x) = 58x + 21, where x represents the number of decades since both companies started in 1950. The number of employees at company B is given by g(x) = 53x + 23. Which function describes the total number of employees at the newly merged corporation? A. h(x) = 111x + 44 B. h(x) = 5x − 2 C. h(x) = (58x + 21)(53x + 23) D. h(x) = -5x + 2

Answer 1

A. h(x) = 111x + 44

Explanation:

We have to add the two functions.

f(x) + g(x) = h(x)

= (58x + 21) + ( 53x + 23)

= 58x + 21 + 53x + 23

= (58x + 53x) + (21 + 23)

= 111x + 44

The function that represent the total employee is;

h(x) = 111x + 44