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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Originally Posted by madman1611 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 Hello, 1. Calculate 2. 3. Now compare the equation from 1. with the result from 2. Obviously the term 2x was plugged into the equation #1 instead of x. Thus
Whoops, didnt see that was given.
There is another solution. So we have to solve the functional equation which is equivalent to . Then or
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