Question

Use the table below to find:

(fog)(7) =
(fof)(-5) =
-8 -5 2
-8
-8
X
f(x) 10 14
g(x) 7 2
(gof)(4) =
(gog)(10) =
4
6 7
-5
6
7
4 -5
10
10
4
6
14
2
14

Answer 1

To find the compositions (fog)(7), (fof)(-5), (gof)(4), and (gog)(10) using the given table, we substitute the appropriate values into the respective functions. The compositions are found to be 14, 10, 7, and 7, respectively.

Step-by-step explanation:

To find (fog)(7), we need to first find f(g(7)). We see that g(7) is equal to 2, so we substitute 2 into f(x), giving us f(2) = 14. Therefore, (fog)(7) = 14.

To find (fof)(-5), we need to first find f(of(-5)). We see that of(-5) is equal to of(2) = -5. So we substitute -5 into f(x), giving us f(-5) = 10. Therefore, (fof)(-5) = 10.

To find (gof)(4), we need to first find g(of(4)). We see that of(4) is equal to of(2) = -5. So we substitute -5 into g(x), giving us g(-5) = 7. Therefore, (gof)(4) = 7.

To find (gog)(10), we need to first find g(og(10)). We see that og(10) is equal to og(2) = -5. So we substitute -5 into g(x), giving us g(-5) = 7. Therefore, (gog)(10) = 7.