## mathcalculus 2 years ago For the following function, h , determine the functions, f and g so that : h(x)= f(g(x)) If h(x)=(8x+8/11x-11)^7 then f(x) g(x)

1. mathcalculus

helppppp :(

2. kirbykirby

Do you still need help even though your question is closed

3. mathcalculus

4. kirbykirby

Ok well for compositions, you have to imagine a function being INSIDE another function

5. kirbykirby

The basic functions are like: $$ln(x), cos(x), sin(x), x, e^x...$$ ... so if you have like $$x^2|dw:1362456641846:dw|$$

6. kirbykirby

In your case we have |dw:1362456844212:dw|

7. mathcalculus

yeah

8. mathcalculus

then?

9. mathcalculus

?????

10. kirbykirby

so, in math we'd say $$f(g(x))=h(x)$$, so we let the inner function (the square box) be g(x)... since it's inside of f... $$g(x)=\frac{8x+8}{11x-11}$$ Now you want to make all of g(x) to be raised to the power of 7. What we typically do is let $$u=g(x)$$, now define $$f(u)=u^7$$ |dw:1362457135131:dw|

11. kirbykirby

Ok no offense though but can you not see I'm still writing ? You know this openstudy site is voluntary for those to post answers, it's kind of rude to rush people with "?????????"

12. mathcalculus

don't waste my time if you're going to get emotional. & exactly, voluntarily. voluntarily leave.

13. kirbykirby

Well how am I wasting your time if I just posted the solution for you. And I am not wasting your time becuse it takes time to draw these pictures and code using LaTex

14. mathcalculus

15. mathcalculus

thanks but no thanks! :)

16. kirbykirby

Wow I can't believe how ungrateful you are. You are even lucky there are people willing to voluntarily help you with your homework

17. mathcalculus

omg, enough. thanks kirby!

18. mathcalculus

i just saved you some trouble.

19. mathcalculus

I did not intend to be rude.. I just had a bad day, so please don't let it ruin yours, sincerely me.