How do you add functions?

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Now Playing:Add functions– Example 1

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