Adding functions

Lessons

• 1.
  Determine the Sum of Two Functions Algebraically
  If $f(x)= 5x^3-x+6$ and $g(x)=4x-8$, determine:
  a)

  $(f+g)(x)$
  
  
  b)

  $(f+g)(2)$, evaluate in two different ways
  
  

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• 2.
  Determine the Sum of Two Functions Graphically
  Given the graphs of functions $f(x)$ and $g(x)$
  
  
  a)

  sketch: $(f+g)(x)$
  
  
  b)

  evaluate:
  i)

  $(f+g)(-5)$
  ii)

  $(f+g)(0)$
  iii) $(f+g)(5)$
  
  

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• 3.
  Determine the Value of a Combined Function
  If $f(x)=\sqrt{2x}-1$ and $g(x) = -|6-x|$
  Evaluate: $5(f+g)(8)-10$

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