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    Adding, Subtracting Functions

    As well as Multiplying and Dividing Them!

    Multiply and Dividing Functions | Functions in Math | Composition of functions

    Adding and Subtracting Functions

    There is nothing tricky about adding or subtracting functions. To add, or subtract, functions, first evaluate the given functions then perform the indicated operation.
      Example Problem
    • f(x) = 2x
    • g(x) = 3x+1
    • What is f(3) + g(4) ?
    • Step 1: evaluate the individual functions
      • f(3)  = 2×3 = 6
      • g(4) = 3×4 +1 = 13
    • Step 2: Add the values that your functions produced
      • f(3) + g(4) = 6 + 13 = 19
    Practice Problems
    Functions:
    f(x) = 3x-1
    g(x) = 3x3-1     		Evaluate f(6) + g(2)
    Answer
    Functions:
    f(x) = 4x – 1
    g(x) = x2     		Evaluate f(5) - g(3)
    Answer

    Multiplying and Dividing Functions

    Multiplying and Dividing functions works the same as adding and subtracting functions. Simply evaluate the individual functions then perform the indicated multiplication or division.
    Example Problem
  • f(x) = 3x
  • g(x) = 5x+2
  • What is f(8) ÷ g(2) ?
  • Step 1: evaluate the individual functions
    • f(8)  = 3 × 8 = 24
    • g(2) = 5 ×2 +2 = 12
  • Step 2: Divide the values that your functions produced
    • f(8) ÷ g(2) = 24 ÷ 12 = 2
    • Practice Problems
    Functions:
    j(x) = 5x
    p(x) =x+1     		Evaluate j(7) ÷ p(4)
    Answer
    Functions:
    f(x) = 3x+2
    k(x) = 5x+1     		Evaluate f(4) × k(2)
    Answer
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