Question

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

Answer 1

Explanation:

From our knowledge of composite function, we first determine the intersection point of the F and G on the x coordinate which when compare the domain point 1 and 3.

To carry out the operation F+G we only perform this operation on the y-coordinate that has the same x-coordinate and this point occur only at point 1 and 3 as stated earlier.

Hence
`F+G={(1,2+4),(3,5+0)}\\F+G={(1,6),(3,5)}\\`

Also for the division F/G we have

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

`F/G={(1,0.5),`(3,undefine)

since at point 3 we have the y coordinate not define. this simple mean that we an asymptote at x=3