SOLUTION: If F = { (1,2), (3, 5), (4,7)} and G = { (1,4), (3,0), and (5, 2)}, what is F + G? What is G/F (using arithmetic function)?

Algebra ->  Functions -> SOLUTION: If F = { (1,2), (3, 5), (4,7)} and G = { (1,4), (3,0), and (5, 2)}, what is F + G? What is G/F (using arithmetic function)?       Log On


   



Question 1065977: If F = { (1,2), (3, 5), (4,7)} and G = { (1,4), (3,0), and (5, 2)}, what is F + G? What is G/F (using arithmetic function)?

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

Did you mean to have (4,7) as an element of F and (5,2) 
as an element of G?  That would mean that 
F has domain {1,3,4} whereas G has domain {1,3,5}.

If you didn't make a typo, we can only use the common 
domain {1,3}, and ignore the ordered pairs (4,7) in F
and (5,2) in G, since they do not have the same first
coordinate.

F+G = {(1,2+4), (3,5+0)}

or upon simplifying:

F+G = {(1,6), (3,5)}

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G/F = {(1,4/2), (3,0/5)} 

or, upon simplifying:
 
G/F = {(1,2),(3,0)}

Edwin