<PRE><B>Question 1069269</B>
(fog)(x) means apply g(x) first then f(x)
:
f(x) = 2 - 3x
:
g(x) = Ax^2 + Bx + C
:
(fog)(x) = 2 - 3(Ax^2 + Bx + C)
:
2 - 3Ax^2 - 3Bx - 3C = 3x^2 - 9x - 4
:
-3Ax^2 -3Bx - 3C = 3x^2 -9x - 6
:
Ax^2 + Bx + C = -x^2 +3x + 2
:
******************
g(x) = -x^2 +3x +2
******************
:
to check the answer calculate (fog)(x)
:
2 - 3(-x^2 +3x +2) =
:
2 + 3x^2 -9x -6 =
:
3x^2 - 9x -4
:
our answer for g(x) checks
:
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