Find (f + g)(x) and (f g)(x) for f(x) = 6x2 + 5 and g(x) = 7 – 5x.
a.
(f + g)(x) = 6x2 + 5x – 12
(f- g)(x) = 6x2 – 5x – 2
b.
(f + g)(x) = 6x2 – 5x + 12
(f- g)(x) = 6x2 + 5x – 2
c.
(f + g)(x) = 6x2 + 0x + 7
(f- g)(x) = 6x2 + 10x – 7
d.
(f + g)(x) = 6x2 + 5x – 2
(f- g)(x) = 6x2 – 5x + 12

  B.  (f + g)(x) = 6x² – 5x + 12

       (f- g)(x) = 6x² + 5x – 2

Step-by-step explanation:

1) (f +g)(x) = f(x) + g(x) = (6x² + 5) + (7 -5x) = 6x² -5x +12

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2) (f-g)(x) = f(x) -g(x) = (6x² + 5) - (7 -5x)

  = 6x² +5 -7 +5x . . . the minus sign outside multiplies all the terms inside

  = 6x² +5x -2

answer:

your answer is: c. 196 7/8 in^3.