12 HL Composite Functions Homework

Let \(f(x)=x^2\) and \(g(x)=x-1\).

  1. Find the range of \(f\) and \(g\), assuming the domain for both is \(\mathbb{R}\).
  2. Find the range of \(f\) and \(g\), assuming the domain for both is \([-2,\infty[\).
  3. Find the value of each of the functions below when \(x=4\).
    a) \(f\circ g\)
    b) \(g\circ f\)
  4. Find the range of each of the functions in Question 3.

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