Let f(x)= -5x + 3 and g(x) = 6x -2. Find f*g and its domain.
(1 point)
-30x^2 + 28x - 6; all real numbers except x = 1/3
-15x^2 - 8x - 12; all real numbers except x = 3/5
-15x^2 - 8x - 12; all real numbers
-30x^2 + 28x - 6; all real numbers
The product of two functions f(x) and g(x) is found by multiplying their expressions together.
For f(x) = -5x + 3 and g(x) = 6x - 2, the product f*g is:
f*g = (-5x + 3)(6x - 2)
= -30x^2 + 28x - 6
The domain of f*g is all real numbers since there are no restrictions or exclusions mentioned. Therefore, the correct answer is:
-30x^2 + 28x - 6; all real numbers.