Given the functions, f(x) = x3 + x2 + 1 and g(x) = -6x2 + 2, perform the indicated operations. when applicable, state the domain restriction.
(f + g)(x).

options:
1. x3 + 7x2 + 3
2. x3 - 7x2 + 5
3. x3 + 5x2 + 3
4. x3 - 5x2 + 3

Which statement is true about the extreme value of the given quadratic equation? a. the equation has a maximum value with a y-coordinate of -21. b. the equation has a maximum value with a y-coordinate of -27. c. the equation has a minimum value with a y-coordinate of -21. d. the equation has a minimum value with a y-coordinate of -27.