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11 August, 20:18

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).

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  1. 11 August, 20:22
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    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
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