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) = 20 10 40 halp

Answer 1

`(FG)(2) =20\\`

Explanation:

Given

`F = \{(0, 1), (2, 4), (4, 6), (6, 8)\}`

`G = \{(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)\}`

Required

(F G) (2)

In functions:

`(F G)(x) = (F * G)(x)`

Which then gives:

`(F G)(x) = F(x) * G(x)`

Substitute 2 for x

`(F G)(2) = F(2) * G(2)`

From the given functions:

`F(2) = 4` i.e.
`(2,4)`

`G(2) = 5` i.e.
`(2,5)`

So:

`(FG)(2) = 4 * 5`

`(FG)(2) =20\\`