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

Question

asked Nov 25, 2022 98.0k views

1 Answer

Nicola Bonelli · Answer 1 · 2022-11-30T03:51:25+0000

Answer:

$(FG)(2) =20\\$

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

$(FG)(2) =20\\$