## anonymous one year ago .

1. Haseeb96

what do u think so how we will start to solve it ?

2. skullpatrol

Any ideas?

3. Astrophysics

Hint: $y = \frac{ 8 }{ g(x) }+2$

4. anonymous

I have to insert g(x) into the denominator?

5. anonymous

Ohhh wait the denominator is g(x)?

6. Astrophysics

Yes, the goal of your question is to get a function represented as y=f(g(x))

7. anonymous

Okay, so i should write it as y(8(x^2+2)?

8. Astrophysics

All you have to do is find f(x) and g(x)

9. Astrophysics

So what is f(x) and what is g(x)

10. anonymous

g(x) is x^2 and f(x) is 8+2?

11. Astrophysics

No...y = f(x) itself

12. anonymous

How do I write that?

13. Astrophysics

$f(x) = \frac{ 8 }{ g(x) }+2$

14. Astrophysics

You can see that y = f(g(x))

15. anonymous

Ohh okay so thats the answer?

16. Astrophysics

or you can just write f(x) = 8/(x^2)+2

17. skullpatrol

y = 8/g + 2 Let g = ? To get y = 8/(x^2) + 2

18. Astrophysics

Yeah that's pretty much it

19. Astrophysics

You have to write f(x) and g(x) but you already figured out g(x)

20. anonymous

So I should write down f(x) = 8/(x^2)+2?

21. Astrophysics

So say f(x) =... and g(x) = ... and that's it

22. Astrophysics

Yeah that's fine

23. anonymous

Okay, so what you first wrote down is the answer? I'm sorry i suck at this haha

24. anonymous

f(x)=8/g(x)+2

25. Astrophysics

$f(x) = \frac{ 8 }{ x^2 }+2$ 8/x+2 should work to I guess and you can write $g(x) = x^2$ therefore it satisfies y=f(g(x))

26. Astrophysics

Hmm yeah $f(x) = \frac{ 8 }{ x }+2$ not x^2

27. anonymous

Thank you sooo much!