Adding functions

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Examples
Lessons
  1. Determine the Sum of Two Functions Algebraically
    If f(x)=5x3x+6f(x)= 5x^3-x+6 and g(x)=4x8 g(x)=4x-8, determine:
    1. (f+g)(x)(f+g)(x)
    2. (f+g)(2) (f+g)(2), evaluate in two different ways
  2. Determine the Sum of Two Functions Graphically
    Given the graphs of functions f(x)f(x) and g(x)g(x)
    Addition of functions
    1. sketch: (f+g)(x)(f+g)(x)
    2. evaluate:
      i)
      (f+g)(5)(f+g)(-5)
      ii)
      (f+g)(0)(f+g)(0)
      iii) (f+g)(5)(f+g)(5)
  3. Determine the Value of a Combined Function
    If f(x)=2x1f(x)=\sqrt{2x}-1 and g(x)=6x g(x) = -|6-x|
    Evaluate: 5(f+g)(8)105(f+g)(8)-10
    Topic Notes
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    adding functions: (f+g)(x)=f(x)+g(x)(f+g)(x) = f(x)+g(x)