For this case we have the following functions:
[tex]F (x) = 3x ^ 2 +1\\G (x) = 2x-3\\H (x) = x[/tex]
We have to:
[tex]G (x) * - 1[/tex] is given by:
[tex](2x-3) * - 1 = -2x +3[/tex]
Thus, the correct option is the option is A.
On the other hand,
[tex]F (x) +G (x) = 3x ^ 2 +1 +(2x - 3) = 3x ^ 2+ 1+ 2x-3 = 3x ^ 2 +2x-2[/tex]
Thus, the correct option is the option is A.
We also have:
[tex]F (-2) = 3 (-2) ^ 2+ 1 = 3 (4)+ 1 = 12+ 1 = 13[/tex]
Thus, the correct option is the option is B.
Last we have:
[tex]F (3)+G (4) -2H (5) = (3 (3) ^ 2+ 1)+ (2 (4) -3) -2 (5) = (3 (9)+ 1) - (8-3) 10 = 28+ 5-10 = 33[/tex]
Thus, the correct option is the option is C.
ANswer:
Option A, A, B, C
