Question

Given: F=(0,1),(2,4),(4,6),(6,8) and g=(2,5),(4,7),(5,8),(6,9),(7,5) (fxg)(2)

Answer 1

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`f * g = (2 \: , \:4 * 5) \: , \: (4 \: , \: 6 * 7) \: , \: (6 \: , \: 8 * 9) \\`

`f * g = (2 \: , \: 20) \: , \: (4 \: , \: 42) \: , \: (6 \: , \: 72) \\`

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Thus ;

`(f * g)(2) = 20`

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Answer 2

(F-G)(x) = -1

Step-by-step explanation:

The notation (F - G)(x) means to subtract each function when x = 6. According to the sets when x = 6 then F is (6,8) and G is (6,9). To subtract the functions, subtract their output values. (F-G)(x) = 8 - 9 = -1.

Explanation: