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Question

If f={(4,5),(5,6),(6,4)} and g={(4,4),(6,5),(8,5)} then find
1) f+g
2) fg
3) 2f+4g

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Solution

Consider the given function

f={(4,5),(5,6),(6,4) ..……(1)

g={(4,4),(6,5),(8,5)} ……..(2)

Now,

1) f+g={(4+4,54),(5+6,6+5),(6+8,4+5)}={(8,1),(11,11),(14,1)}

2) fg={(44,5+4),(56,65),(68,45)}={(0,9),(1,1),(2,9)}

3)2f+4g={(8,10),(10,12),(12,8)}+{(16,16),(24,20),(32,20)}={(8+16,1016),(10+24,12+20),(12+32,8+20)}={(24,6),(34,32),(44,16)}


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