## JohnCarney111 2 years ago I need help *** if someone can get back to me you will get a medal!! really need help lost

1. amistre64

2. lexiamee

what quiz

3. JohnCarney111

ok for the function 32 over x+3 find (g^-1*g(5)

4. JohnCarney111

5. amistre64

what is the value of g(5)?

6. JohnCarney111

Sorry it soupposed to be (g^-1*g)(5)

7. lexiamee

I dont remeber that, srry I take Geometry and Id ont rmeber how to solve

8. JohnCarney111

it does not say what g equals

9. amistre64

im pretty sure g is the name of the function they gave you

10. amistre64

$g(x)=\frac{32}{x+3}$

11. JohnCarney111

ok so i multiply that funtion by itself to the -1 power?

12. amistre64

the -1 notation here denotes the inverse of the function .. not really a power

13. amistre64

do you know how to find an inverse?

14. JohnCarney111

not really

15. amistre64

given a function $y=\frac{32}{x+3}$ the inverse swapps x and y, so the inverse of this is $x=\frac{32}{y+3}$

16. JohnCarney111

so now i divide?

17. amistre64

lets work the inverse a little more .. just so things loook normal $x=\frac{32}{y+3}$ $y+3=\frac{32}{x}$ $y=\frac{32}{x}-3=g^{-1}(x)$

18. amistre64

so, $g^{-1}*g=(\frac{32}x-3)(\frac{32}{x+3})$ plug in x=5 and find the product

19. JohnCarney111

4

20. JohnCarney111

now what? would i times 4 by 5?

21. amistre64

not if your following what ive written ....

22. JohnCarney111

the answer choices are 11 5 2 and 1 so ???

23. JohnCarney111

what now

24. JohnCarney111

sorry i am not good at this

25. amistre64

hmm, you sure thats a "*" in between them or is it more of an "$$^o$$"

26. JohnCarney111

an o

27. amistre64

ahhh, that changes things, the open "o" means a composite, not a multiplication of the 2 of them

28. amistre64

g^(-1) o g has a property that the input is the same as the output

29. lexiamee

could you check out the math chat box it may need to be controlled.

30. amistre64

it needs the adminstrators to come online and deal with the isp itself .. so that the whole school gets banned

31. amistre64

so if the input is 5, what is the output?

32. JohnCarney111

5?

33. JohnCarney111

-5

34. amistre64

yes, if the input is 5, the output is 5 ... its a special property of composing inverses of each other

35. lexiamee

what school. Cant you bn them if they need

36. JohnCarney111

so if there is an o don't multiply make input sam as output?

37. amistre64

only if the functions are inverses of each other does that work. If they are not inverses the input and output can be different

38. JohnCarney111

brb domestic situation at house have to help brother

39. amistre64

good luck ::)