SOLUTION: If f(x)=x^2, find two functions g for which (f o g)(x)=4x^2-12x+9

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Question 1144613: If f(x)=x^2, find two functions g for which (f o g)(x)=4x^2-12x+9
Answer by ikleyn(52914) About Me  (Show Source):
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If f(x)=x^2, find highlight%28cross%28two%29%29 the highlight%28cross%28functions%29%29 function g for which (f o g)(x)=4x^2-12x+9
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g(x) = 2x-3.


It is one possibility.
There are other possibilities, too.


First other possibility is g(x) = -(2x-3).


Second other possibility is g(x) = |2x-3|.