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Consider the following functions.

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Consider the following functions. f(x) = x3 + 2,    g(x) = 3x

  1. Find (f ∘ g)(x).
  2. Find the domain of (f ∘ g)(x).(Enter your answer using interval notation.)
  3. Find (g ∘ f)(x).
  4. Find the domain of (g ∘ f)(x). (Enter your answer using interval notation.)
  5. Find (f ∘ f)(x).
  6. Find the domain of (f ∘ f)(x).(Enter your answer using interval notation.)
  7. Find (g ∘ g)(x).
  8. Find the domain of (g ∘ g)(x). (Enter your answer using interval notation.)
 
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