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Operations with functions- Home
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Algebra

Adding and subtracting polynomialsAlgebra

Function notationAlgebra

Function notation (Advanced)Algebra

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Algebra

Adding and subtracting polynomialsAlgebra

Function notationAlgebra

Function notation (Advanced)Algebra

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Basic Concepts: Adding and subtracting polynomials, Function notation, Function notation (Advanced), Operations with functions

subtracting functions: $(f-g)(x) = f(x)-g(x)$

- 1.
**Determine the Difference of Two Functions Algebraically**

If $f(x)= 5x^3-x+6$and$g(x)=4x-8,$

Determine:a)$(f-g)(x)$b)$(g-f)(x)$c)$(g-f)(-2)$evaluate in two different ways - 2.
**Determine the Difference of Two Functions Graphically**

Given the graphs of functions $f(x)$and $g(x)$

a)sketch: $(g-f)(x)$b)evaluate:

i) $(g-f)(-3)$

ii) $(g-f)(0)$

iii) $(g-f)(4)$ - 3.
**Determine the Difference of Two Functions Point-by-Point**

The graph of $y=f(x)$includes the points (2,5),(4,15),(7,30)

The graph of $y=g(x)$includes the points (2,6),(3,16),(4,30)

If f and g are defined for all real values of x , then which of the

following points must lie on the graph of $y=(f-g)(x)?$a)$(0,-1)$b)$(0,1)$c)$(2,-1)$d)$(3,30)$

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