Question 810537: if f(x)=3x^2-2x-1 and g(x)=x^2 find (g*f)(x)
a. 9x^4 - 12x^3 - 2x^2 + 4x + 1
b. 9x^4 - 12x^3 - 8x^2 + 4x + 1
c. 9x^4 - 6x^3 - 6x^2 + 2x + 1
d. 9x^4 - 6x^2 + 1 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! if f(x)=3x^2-2x-1 and g(x)=x^2 find (gof)(x)
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Note:: You used the wrong symbol for composition.
* is for multiplication ; o is for composition.
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gof(x) = g[f(x)] = g[3x^2-2x-1] = (3x^2-2x-1)^2
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= 9x^4-6x^3-3x^2-6x^3+4x^2+2x-3x^2+2x+1
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= 9x^4 -12x^3 -2x^2 + 4x +1
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Cheers,
Stan H.
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a. 9x^4 - 12x^3 - 2x^2 + 4x + 1
b. 9x^4 - 12x^3 - 8x^2 + 4x + 1
c. 9x^4 - 6x^3 - 6x^2 + 2x + 1
d. 9x^4 - 6x^2 + 1
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