SOLUTION: What is (fg)(2) given f(x) = 3x^2 - x and g(x) = x - 2

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Question 1026124: What is (fg)(2) given f(x) = 3x^2 - x and g(x) = x - 2
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Are you asking for (fog) (2)?
If so:-
f(x) = 3x^2 - x and g(x) = x - 2
(fog) = 3(x - 2)^2 -(x - 2)
(fog) = 3(x^2 - 4x + 4) -(x - 2)
Remove brackets:
(fog) = 3x^2 - 12x + 12 - x + 2
Collect like terms:
(fog) = 3x^2 - 13x + 14
(fog) (2) = 3(2)^2 - 13(2) + 14
(fog) (2) = 12 - 26 + 14
(fog) (2) = 0
Hope this helps :-)