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Graphs, MET2-NHT 2019 VCAA 16 MC

Parts of the graphs of  `y = f(x)`  and  `y = g(x)`  are shown below.
 


 

The corresponding part of the graph of `y = g(f(x))` is best represented by

A.     B.  
     
C.     D.  
     
E.        
       
Show Answers Only

`E`

Show Worked Solution

`text(Possible graphs are:)`
 
`g(x) = -(1)/(x)`

`f(x) = (x – 1)^2 + 1`
 
`text{Graph (by CAS):}`

`g(f(x)) = -(1)/((x – 1)^2 + 1)`
 
`=>  E`

Filed Under: Functional Equations Tagged With: Band 5, smc-642-50-Identify graph

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