Determine the domain and range of the following rational function: f(x) = \frac{2(x-3)(x+4)}{(x+4)(x-1)} a....

1. Determine the domain and range of the following rational function:
f(x) = \frac{2(x-3)(x+4)}{(x+4)(x-1)}
a. Domain: (-∞, -4) ∪ (-4, ∞) Range: (-∞, 2) ∪ (2, ∞)
b. Domain: (-∞, 1) ∪ (1, ∞) Range: (-∞, 2) ∪ (2, ∞)
c. Domain: (-∞, -4) ∪ (-4, 1) ∪ (1, ∞) Range: (-∞, ∞)
d. Domain: (-∞, -4) ∪ (-4, 1) ∪ (1, ∞) Range: (-∞, 2) ∪ (2, ∞)
2. Determine the domain of the following rational function:
f(x) = \frac{(x-6)(x+3)}{(x-2)(x+8)(x-6)}
a. (-∞, -8) ∪ (-8, 2) ∪ (2, 6) ∪ (6, ∞)
b. (-∞, -8) ∪ (-8, 6) ∪ (6, ∞)
c. (-∞, -2) ∪ (-2, 6) ∪ (6, 8) ∪ (8, ∞)
d. (-∞, -8) ∪ (-8, 2) ∪ (2, ∞)