IF F = {(1,2), (3,5), (4,7)} AND G = { (1,4), (3,0), (5,2)}. WHAT F+G? WHAT IS F\G? (USING FUNCTION ARITHMETIC

Question

IF F = {(1,2), (3,5), (4,7)} AND G = { (1,4), (3,0), (5,2)}. WHAT F+G? WHAT IS F\G? (USING FUNCTION ARITHMETIC)

Answer 1

THE DOMAIN OF F+G WILL BE {1,3} BECAUSE THOSE TWO 'X' VALUES ARE THE ONLY ONES FOUND IN THE INTERSECTION OF THE DOMAINS OF F AND G.

 

(F+G) = {(1,6) (3,5)}  where these y values are the sums of the y values for x=1 and x=3.

 

Similar reasoning applies to determining F/G (the proper way to indicate division).  Any division by 0 must be prevented, of course.