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