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Composite Functions

Question

Given two functions,

  1. f(x) = x2
  2. g(x) = x + 1

solve the following composite functions question.

  1. fg(x)
  2. fg(1)
  3. gf(1)
  4. gf(x)
  5. ff(1)

 

Answer

  1. x2+2x+1
  2. 4
  3. 2
  4. x2+1
  5. 1

Note:

  • A composite function combines multiple functions and formed another function.
  • The output of one function will normally become the input of the other function after the combination.

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