Answer: OPTION D
Explanation:
Given the functions f(x) and g(x) shown in the figure attached, you have that g(x)-f(x) means that you must subtract both functions.
Therefore, keeping this on mind, you have:
![g(x)-f(x)=3x^(3)-x^(2)+7x-(x^(2)+3x+5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tcu2cpnqsujo8ogj5urhvxjhrdtpd1oh1o.png)
Now, you must distributive the negative sign that is in front of the parentheses and add the like terms. Then, you obtain:
![g(x)-f(x)=3x^(3)-x^(2)+7x-x^(2)-3x-5\\g(x)-f(x)=3x^(3)-2x^(2)+4x-5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/iamzol9hefpnqdqnqq7fhl2q9ypm22mpo4.png)