## Katieann16 3 years ago Heeelp Me /:

1. mew55

in?

2. Katieann16

if f(x)= 1/x & g(x)= 2x, Which of the following statement is true? A)(fog)(1)=2 B)(fog)(0)=3 C)(fog)(2)=1/4 D)(gof)(-2)=7

3. Dido525

|dw:1355111236995:dw|

4. Dido525

|dw:1355111283159:dw|

5. Dido525

|dw:1355111302670:dw|

6. Katieann16

....

7. Dido525

Sorry.

8. Dido525

f o g means f(g(x)) in other words it's saying f of some value x of g(x) .

9. jonnyrules96

just put it g(x) as x into f(x)

10. Dido525

|dw:1355111495183:dw|

11. Dido525

That's an example.

12. Dido525

Basically you substitute in one function inside of the other.

13. jonnyrules96

now just apply same concept to your question

14. Dido525

fog means f(g(x)) meaning you substitute g(x) wherever there is an x.

15. Dido525

similarly gof means g(f(x)) so substitute f(x) anywhere there is an x at.

16. Dido525

So we are given, |dw:1355111651185:dw|

17. Dido525

Do you understand? @Katieann16

18. zordoloom

|dw:1355111885222:dw|

19. zepdrix

These guys have given you a good explanation as of how to get to the answer, but just in case you're still confused about what (f o g)(x) should look like, here you go. $\large f(x)=\frac{1}{x}, \qquad g(x)=2x$$\large f(g(x))\quad = \quad f(2x) \quad = \quad \frac{1}{2x}$