Question: maple simplify questions

Let 𝑦 and 𝑧 and be variables, let 𝑦 =( 𝑎+𝑏𝑧+𝑐𝑧^2)/( 𝑑+𝑒𝑧+𝑓𝑧 ^2) . Use the function solve in Maple to solve for 𝑧 in terms of 𝑦, that is, find a function 𝑧 = 𝑓(𝑦) (in fact, you should be able to find two). Let 𝑔(𝑧) = 𝑎+𝑏𝑧+𝑐𝑧^2)/( 𝑑+𝑒𝑧+𝑓𝑧 ^2)  and compute 𝑔(𝑓(𝑦)) for both of these functions and show that if you simplify the expressions you get a predictable answer. 

I ave already solved the values, however I am unable to simplify these expressions.


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