From the question, the following was derived:
Thompson gets 4x² - 3x + 9 dollars for his work.
Murray gets 5x + 13 for his work.
x is the number of days they work. We are to find the total amount they earn for x days of work.
The total amount they earn for x days of work is;
= (4x² - 3x + 9) + (5x + 13)
= 4x² - 3x + 9 + 5x + 13
= 4x² + 2x + 22
Therefore, the total amount they earn for x days of work is 4x² + 2x + 22.
So, the correct option is the third option which is 4x² + 2x + 22.