## anonymous 3 years ago Heeelp Me /:

1. mew55

in?

2. anonymous

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. anonymous

|dw:1355111236995:dw|

4. anonymous

|dw:1355111283159:dw|

5. anonymous

|dw:1355111302670:dw|

6. anonymous

....

7. anonymous

Sorry.

8. anonymous

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

9. anonymous

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

10. anonymous

|dw:1355111495183:dw|

11. anonymous

That's an example.

12. anonymous

Basically you substitute in one function inside of the other.

13. anonymous

now just apply same concept to your question

14. anonymous

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

15. anonymous

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

16. anonymous

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

17. anonymous

Do you understand? @Katieann16

18. anonymous

|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}$