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

Answer:

$(FG)(2) =20$

Step-by-step 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:

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

$(FG)(2) =20$