Answer :
The function that represents the difference between the moving companies' rates is:
h(x) = -2x + 200.
How to find the difference of two functions?
The difference of two functions is found subtracting the like terms from the functions.
In this problem, the functions for the rates are given as follows:
- f(x) = 3x + 400.
- g(x) = 5x + 200
Hence the difference is given by:
h(x) = 3x + 400 - (5x + 200) = 3x - 5x + 400 - 200 = -2x + 200.
More can be learned about functions at https://brainly.com/question/24808124
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