Question

Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)} (F + G) (2) =

Answer 1

9

Explanation:

(F+G)(2)

=F(2)+G(2)

Stop!

F(2) means what is y when x=2 looking at function F.

F(2)=4 since F has the ordered pair (2,4) which says when x=2, y=4.

G(2) means what is y when x=2 looking at function G.

G(2)=5 since G has the ordered pair (2,5) which says when x=2, y=5.

G(2)=5.

Continue!

(F+G)(2)

=F(2)+G(2)

=4+5

=9

Answer 2

`(F + G) (2) = 9`

Explanation:

By definition

`(F + G) (x) = F (x) + G (x)`

So:

`(F + G) (2) = F (2) + G (2)`

F(2) is the value of the function F(x) when x = 2

G(2) is the value of the function G(x) when x = 2

Notice that when
`x = 2`,
`F (x) = 4` and when
`x = 2` then
`G (x) = 5`

Thus:

`(F + G) (2) = 4 +5`

`(F + G) (2) = 9`