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

# Subtracting functions

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Examples

**Determine the Difference of Two Functions Algebraically**

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

Determine:**Determine the Difference of Two Functions Graphically**

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

**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 $y=(f-g)(x)?$- $(0,-1)$

- $(0,1)$

- $(2,-1)$

- $(3,30)$

- $(0,-1)$