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April 17, 2014

April 17, 2014

Posted by **L.Bianchessi** on Monday, March 5, 2012 at 5:11am.

Find f o f o f

So...

F(f(x))

I got a really big answer..... I think I might have done something wrong when doing the distributing algebraic work.

- precalc!!!!! -
**Susan**, Monday, March 5, 2012 at 6:33amf(x) =3x-4x^2

f(f(x))=3(3x-4x^2)-4(3x-4x^2)^2

factor out (3x-4x^2)

=(3x-4x^2)(3-4(3x-4x^2)

=(3x-4x^2)(3-12x+16x^2)

f(f(f(x))=3(3x-4x^2)(3-12x+16x^2)-4(3x-4x^2)(3-12x+16x^2)^2

factor out (3x-4x^2)(3-12x+16x^2)

f(f(f(x))=(3x-4x^2)(3-12x+16x^2)(3-4(3x-4x^2)(3-12x+16x^2))

=(3x-4x^2)(3-12x+16x^2)(3-4(9x-36x^2+48x^3-12x^2+48x^3-64x^4)

simplifying

=(3x-4x^2)(3-12x+16x^2)(3-4(9x-48x^2+96x^3-64x^4)

=(3x-4x^2)(3-12x+16x^2)(3-36x+192x^2+384x^3-256x^4)

A really big answer

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