Adding functions

Adding functions

Lessons

adding functions: (f+g)(x)=f(x)+g(x)(f+g)(x) = f(x)+g(x)
  • 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:
    a)
    (f+g)(x)(f+g)(x)

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

    b)
    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