Final answer:
To find f(3) + g(-2), substitute the given values into the equations f(x) = 2x + 1 and g(x) = -3x - 8. f(3) = 7 and g(-2) = -2, so f(3) + g(-2) = 5.
Step-by-step explanation:
To find f(3) + g(-2), we need to substitute the given values into the equations f(x) = 2x + 1 and g(x) = -3x - 8.
For f(3), we substitute x = 3 into f(x), so f(3) = 2(3) + 1 = 6 + 1 = 7.
For g(-2), we substitute x = -2 into g(x), so g(-2) = -3(-2) - 8 = 6 - 8 = -2.
Therefore, f(3) + g(-2) = 7 + (-2) = 5.