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The following three functions look very similar, but define very different functions. Think about how they are defined and write each as a composition of

The following three functions look very similar, but define very different functions. Think about how they are defined and write each as a composition of functions given the information below. (None of the functions in your compositions should be the same as the given function.)

  1. sin^4x=f(g(x)) where F(x)= and g(x)=
  2. sin(sin(x))=f(g(x)) where F(x)= and g(x)=
  3. sinx^4=f(g(x)) where F(x)= and g(x)=

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