Final answer:
To find f(4) - g(3), we evaluate each function separately and then subtract them. Evaluating f(4) gives 21 and g(3) gives -1, thus 21 - (-1) equals 22.
Step-by-step explanation:
The student has asked to evaluate two functions, f(x) and g(x), and then find the result of f(4) - g(3). The functions are defined as follows: f(x) = 5x + 1 and g(x) = 3x - 10.
First, we evaluate f(4) by substituting x with 4, which gives us f(4) = 5(4) + 1 = 20 + 1 = 21. Next, we evaluate g(3) by substituting x with 3, which results in g(3) = 3(3) - 10 = 9 - 10 = -1.
Finally, we subtract g(3) from f(4), f(4) - g(3) = 21 - (-1) = 21 + 1 = 22. The answer is 22.