let f (×)=-5×-3 and g (×)=6×-2. find f×g and its domain
A. -30×^2+28×-6; all real numbers except x=1/3
B. -15×^2-8×-12; all real numbers except x=3/5
C. -30×^2+28×-6; all real numbers
D. -15×^2-8×-12; all real numbers
To find f(x) * g(x), we need to multiply the two functions.
f(x) = -5x - 3
g(x) = 6x - 2
Multiplying f(x) and g(x):
f(x) * g(x) = (-5x - 3) * (6x - 2)
= -30x^2 + 10x + 18x - 6
= -30x^2 + 28x - 6
The domain of f(x) * g(x) is the set of all real numbers, since there are no restrictions on the domain of the multiplication of two polynomials.
Therefore, the correct answer is:
C. -30x^2 + 28x - 6; all real numbers