## geekfromthefutur one year ago I need help with algebra ll hmwrk

1. geekfromthefutur

|dw:1442715709951:dw|

2. Nnesha

okay what about it ?what's the statement ?

3. geekfromthefutur

Find the inverse

4. Nnesha

f(x) is same as y so replace f(x) with y $\huge\rm\color{ReD}{ y}=\frac{ -12-2\color{blue}{x} }{ 3 }$ to find inverse(f^{-1}(x)) switch x and y $\huge\rm\color{blue}{ x}=\frac{ -12-2\color{red}{y} }{ 3 }$ now solve for y

5. geekfromthefutur

im stuck lol

6. Nnesha

alright its okay what u got so fr

7. geekfromthefutur

8. geekfromthefutur

Hows that lol

9. Nnesha

i have no idea what did you type into the calculator ??......

10. geekfromthefutur

The problem you showed me

11. Nnesha

there isn't any radical in my comment not even exponent what are you talking about ? o.O

12. Nnesha

|dw:1442716563503:dw|$$\color{blue}{\text{Originally Posted by}}$$ @Nnesha f(x) is same as y so replace f(x) with y $\huge\rm\color{ReD}{ y}=\frac{ -12-2\color{blue}{x} }{ 3 }$ to find inverse(f^{-1}(x)) switch x and y $\huge\rm\color{blue}{ x}=\frac{ -12-2\color{red}{y} }{ 3 }$ now solve for y $$\color{blue}{\text{End of Quote}}$$

13. geekfromthefutur

i put the x= one into wolf fram

14. Nnesha

do you know how to solve that equation for y ?

15. Nnesha

first we nee to get rid of the denominator at right side so multiply both sides by 3

16. geekfromthefutur

substitute y for f(x) then solve x in terms of y then switch x and y and then replace the y with f^-1(x)

17. Nnesha

yes right so how would you solve x in terms of y ?

18. Nnesha

$\huge\rm\color{blue}{ x}=\frac{ -12-2\color{red}{y} }{ 3 }$ first multiply both sides by 3

19. geekfromthefutur

ok so 3x-12 or

20. Nnesha

$\huge\rm\color{green}{3}·\color{blue}{ x}=\frac{ -12-2\color{red}{y} }{\cancel{ 3} }·\color{green}{\cancel{3}}$ multiply both sides by 3 at right side 3 cancels out then u get $\huge\rm 3x=-12-2y$ now move the -12 at left side how would you do that would add ,subtract,multiply or divide 12 both sides ?

21. geekfromthefutur

multiply

22. Nnesha

hmm no it's -12 -2y -12 is subtracting with -2y so you should apply the opposite of subtraction which is addition so add 12 both sides

23. geekfromthefutur

ok add negative 12 to both or positive

24. Nnesha

it's negative 12 at right side so what is opposite of negative ?

25. geekfromthefutur

positive

26. Nnesha

yes so to cancel out -12 you should add

27. geekfromthefutur

yea

28. Nnesha

|dw:1442717916498:dw| let me know what you get

29. Nnesha

DON"t add 3x and 12 it's not 15 okay! :=)

30. geekfromthefutur

Ok

31. geekfromthefutur

ok well 12 and 12 make 24

32. Nnesha

|dw:1442718071794:dw|

33. geekfromthefutur

oh

34. geekfromthefutur

0

35. Nnesha

to solve for y we need to move -12 and -2 to the left side so we should cancel out the 12

36. Nnesha

and you can't add 3x with -12 so that would stay the same |dw:1442718149403:dw|

37. Nnesha

now one and last step cancel out the -2 from right side how would you do that ?

38. geekfromthefutur

{-3x-12}/{2}

39. Nnesha

it's -2 · y (multiplication) apply the opposite of multiplication

40. Nnesha

oh never mind good job!

41. Nnesha

$y=\frac{ -3x-12 }{ 2 } =$ is same as $y=\frac{ -3 x}{ 2 } -\frac{ 12 }{ 2 }$ you can divide 12/2

42. geekfromthefutur

lol yea i just started school so we are now started doing these and i got a 2/26 on my review and

43. Nnesha

okay got 2 mints divide 12/2 = ?

44. geekfromthefutur

oh 6

45. Nnesha

yes so $y=\frac{ -3 x}{ 2 } -6$

46. Nnesha

and let me tell you how to put that inot the calculator x=(-12-2y)/3 (PARENTHESES FOR SAFETY

47. geekfromthefutur

oh ok ^-^