Adding functions

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Examples

Lessons

Determine the Sum of Two Functions Algebraically
If $f(x)= 5x^3-x+6$ $f (x) = 5 x^{3} - x + 6$ and $g(x)=4x-8$ $g (x) = 4 x - 8$ , 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 $f(x)$ $f (x)$ and $g(x)$ $g (x)$
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 $f(x)=\sqrt{2x}-1$ $f (x) = 2 x - 1$ and $g(x) = -|6-x|$ $g (x) = - ∣6 - x ∣$
Evaluate: $5(f+g)(8)-10$ $5 (f + g) (8) - 10$

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