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) (6) =

Answer 1

Answer:

The value of (F-G)(6) is -1.

Step-by-step explanation:

The given functions are defined as

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

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

We need to find the value of (F-G)(6).

Using subtraction of two function property, we get

$(F-G)(6)=F(6)-G(6)$           .... (1)

From the given functions it is cleared that the value of function F is 8 at x=6 and the value of function G is 9 at x=6. It means

$F(6)=8$

$G(6)=9$

Substitute F(6)=8 and G(6)=9 in equation (1).

$(F-G)(6)=8-9$

$(F-G)(6)=-1$

Therefore the value of (F-G)(6) is -1.

Answer 2

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

F(6) = 8
G(6) = 9

so
(F - G) (6) = 8 - 9 = -1