Answer:
Explanation:
hello :
F(x) =x²-4x+2 and g(x) =3x-7
(fog)(x)=f(g(x))=f(3x-7) = (3x-7)²-4(3x-7)+2
(fog)(x)= 9x²-42x+49-12x+28+2
in standard form : (fog)(x)= 9x²-54x+79
9x² - 54x + 79
To find (f ￮ g)(x) substitute x = g(x) into f(x), that is
f(g(x))
= f(3x - 7)
= (3x - 7)² - 4(3x - 7) + 2 ← expand factor using FOIL
= 9x² - 42x + 49 - 12x + 28 + 2 ← collect like terms
= 9x² - 54x + 79
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