mathcalculus Group Title 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) one year ago one year ago

1. mathcalculus Group Title

helppppp :(

2. kirbykirby Group Title

Do you still need help even though your question is closed

3. mathcalculus Group Title

4. kirbykirby Group Title

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

5. kirbykirby Group Title

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 Group Title

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

7. mathcalculus Group Title

yeah

8. mathcalculus Group Title

then?

9. mathcalculus Group Title

?????

10. kirbykirby Group Title

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 Group Title

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 Group Title

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

13. kirbykirby Group Title

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 Group Title

15. mathcalculus Group Title

thanks but no thanks! :)

16. kirbykirby Group Title

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 Group Title

omg, enough. thanks kirby!

18. mathcalculus Group Title

i just saved you some trouble.

19. mathcalculus Group Title

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