## anonymous one year ago @shalante can you help me with a problem

1. anonymous

i just need help graphing something ..

2. anonymous

Post it

3. anonymous

okay so it says Using the two functions listed below, insert numbers in place of letters a,b,c and d so that f(x) and g(x) inverses $f(x) = \frac{ x+a}{ b }$

4. anonymous

and g(x) - cx - d

5. anonymous

for this part, i chose to do this f(x) = 2x + 5

6. anonymous

to find g(x) we would have to find the inverse of f(x) right?

7. anonymous

becaue i did it that way, and got this: y=2x+5 (because i replaced f(x) and y)

8. anonymous

am i correct so far?

9. anonymous

f(x) has to be (x+any number)/a different number.

10. anonymous

i got x-5=2y/ 2

11. anonymous

and then after simplifying that i got y = x-5 / 2

12. anonymous

then where it says to evaluate g(x) i wasnt sure but this is how i did it:

13. anonymous

is it g(x)-cx-d or g(x)=cx-d?

14. anonymous

g(f(x)) = (2x+5)-5 / 2

15. anonymous

its g(x)=cx-d

16. anonymous

wait im sorry i didnt include the parts

17. anonymous

for part 1 it said show the work that the inverse of f(x) is g(x)

18. anonymous

2nd*

19. anonymous

the third part says to show my work evaluating g(x) and thats how i got the last ones

20. anonymous

i got g(f(x)) = (2x+5)-5 / 2 , because i thought i would have to replace f(x) with the X in the g(x) ... if that makes any sense

21. anonymous

and at the end its asking me to graph it and im lost o_o

22. anonymous

what do you have to graph? f(g(x))?

23. anonymous

yes ..

24. anonymous

i got this far : $g(f(x)) = \frac{ (2x+5)-5 }{ 2 }$

25. anonymous

but im not sure how to graph it now

26. anonymous

Can you type out the whole problem correctly in one box to make sure?

27. anonymous

thats it....

28. anonymous

tell me part 1,2,3 exactly from your assignment

29. anonymous

I need to know all the parts to do the steps correctly.

30. anonymous

Task 1 Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses. f(x)= x+a / b g(x)=cx−d Part 2. Show your work to prove that the inverse of f(x) is g(x). Part 3. Show your work to evaluate g(f(x)). Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include 5 values for each function. Graph the line y = x on the same graph.

31. anonymous

And if you go to the top, thats how i did the work...

32. anonymous

Part 1 Let a=5, b=2,c=2,d=5 so |dw:1440132478788:dw| Part 2 |dw:1440132298809:dw| |dw:1440132437924:dw| Part 3:|dw:1440132646061:dw| |dw:1440132696527:dw|

33. anonymous

Part 4|dw:1440132750951:dw|

34. anonymous

You are supposed to graph f(x), g(x) and y=x not g(fx))

35. anonymous

thaaank youuuuuuuuuuuuuuuuuuuuuuu very muchh !

36. anonymous

You see that f(x) and g(x) are symmetrical to the line y=x?

37. anonymous

No problem!

38. anonymous

yes now i understand it ! thanks alot

39. anonymous

I forgot to write down the 5 values of each function, but I think you know that. All you do is plug in 5 value into x to find y Glad to help!