Answer:
[tex](FG)(2) =20\\[/tex]
Step-by-step explanation:
Given
[tex]F = \{(0, 1), (2, 4), (4, 6), (6, 8)\}[/tex]
[tex]G = \{(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)\}[/tex]
Required
(F G) (2)
In functions:
[tex](F G)(x) = (F * G)(x)[/tex]
Which then gives:
[tex](F G)(x) = F(x) * G(x)[/tex]
Substitute 2 for x
[tex](F G)(2) = F(2) * G(2)[/tex]
From the given functions:
[tex]F(2) = 4[/tex] i.e. [tex](2,4)[/tex]
[tex]G(2) = 5[/tex] i.e. [tex](2,5)[/tex]
So:
[tex](FG)(2) = 4 * 5[/tex]
[tex](FG)(2) =20\\[/tex]
