Let = –5x + 3 and g(x) = 6x – 2. Find f • g and its domain. (1 point) Responses –30x2 + 28x – 6; all real numbers except x = –30 x 2 + 28 x – 6; all real numbers except x = Image with alt text: one-third –15x2 – 8x – 12; all real numbers except x = –15 x 2 – 8 x – 12; all real numbers except x = Image with alt text: three-fifths –30x2 + 28x – 6; all real numbers –30 x 2 + 28 x – 6; all real numbers –15x2 – 8x – 12; all real numbers
To find f • g, we need to multiply the two functions together.
f • g = (-5x + 3)(6x - 2) = -30x^2 + 10x + 18x - 6 = -30x^2 + 28x - 6
The domain of f • g is all real numbers, as there are no restrictions on the values of x that would make the multiplication undefined.
Therefore, the correct response is: -30x^2 + 28x - 6; all real numbers.