Need help with this one (composite functions):

Let f(x) = x + 4 and g(x)= (x - 2)^2 . Find a function u so that f(g(u(x))) = 4x^2 - 8x + 8

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- July 25th 2007, 09:57 PMmadman1611Composite functions
Need help with this one (composite functions):

Let f(x) = x + 4 and g(x)= (x - 2)^2 . Find a function u so that f(g(u(x))) = 4x^2 - 8x + 8 - July 25th 2007, 10:50 PMearboth
- July 25th 2007, 10:54 PMtukeywilliams
Whoops, didnt see that was given.

- July 25th 2007, 11:06 PMred_dog
There is another solution.

So we have to solve the functional equation

which is equivalent to .

Then or