Composite Functions

Composite Functions (Question)

Given with two functions, f(x) = x2 while g(x) = x + 1, solve the following composite functions question.

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


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

Composite Functions (Answer)

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

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