"Let f(x) = 1 - 2x^2 and g(x) = x + 1"
Find (f o f)(x)
1 - 2(1 - 2x^2)^2
I hit a snag when I foiled it out.
= 1 - 4x^2 - 2x^4 Not sure if this is right
When I do the last part of the foil (-2x^2)(-2x^2) do I include the negative or not. I know that when you multiply with exponents, if the base is the same, you just add the exponents and keep the base. So, I am not sure if the negative is part of the base.
Thank you!
ETA: Just thought of this (A - B)^2 = A^2 - 2AB + B^2
So I suppose the negative is not included. Let me know if I am wrong.
Find (f o f)(x)
1 - 2(1 - 2x^2)^2
I hit a snag when I foiled it out.
= 1 - 4x^2 - 2x^4 Not sure if this is right
When I do the last part of the foil (-2x^2)(-2x^2) do I include the negative or not. I know that when you multiply with exponents, if the base is the same, you just add the exponents and keep the base. So, I am not sure if the negative is part of the base.
Thank you!
ETA: Just thought of this (A - B)^2 = A^2 - 2AB + B^2
So I suppose the negative is not included. Let me know if I am wrong.