Consider the following functions. f={ (-4,-1), (1,1), (-3,-2), (-5,2) } and g={ (1,1), (2,-3), (3,-1) }: Find (f-g) (1).

0

Step-by-step explanation:

Subtraction of functions has the property:

(f-g) (1) = f (1) - g (1)

f={ (-4,-1), (1,1), (-3,-2), (-5,2) } has (1,1) means that f maps 1 to 1, therefore f (1) = 1

g={ (1,1), (2,-3), (3,-1) } has (1,1), means that g maps 1 to 1, therefore g (1) = 1

As a Result, since (f-g) (1) = f (1) - g (1), we have (f-g) (1) = 1-1=0