Example QF.QInEQ.0 Suppose $f(x)=2(x-1)^2 - 8 > 0$. Find the solution set, i.e., $\{x:f(x)>0\}$.
The function $f$ is best understood as the composition of the four core functions  $f_{-8}∘f_{∗2}∘q∘f_{−1}$.
Draw a mapping diagram yourself or  use the diagram created with GeoGebra then use the diagram further to solve the inequality and find the solution set.

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