## haleyelizabeth2017 one year ago Find the inverse of f(x).

1. haleyelizabeth2017

$f(x)=\frac{4}{(x-3)^2}$ $x=\frac{4}{(y-3)^2}$ I'm not entirely sure which step to do next.

2. welshfella

you need to find y in terms of x first thing you can do is cross multiply

3. haleyelizabeth2017

Cross multiply?

4. haleyelizabeth2017

Cross multiply what?

5. welshfella

|dw:1443654010925:dw|

6. welshfella

now divide both sides by x

7. haleyelizabeth2017

Oh!

8. haleyelizabeth2017

One moment. Let me get to that point :)

9. haleyelizabeth2017

So I went a little farther than that point, so please correct me if I am wrong :) $(y-3)^2=\frac{4}{x}$$y-3=\frac{\sqrt4}{\sqrt x}$$y=\frac{2}{\sqrt x}+3$

10. welshfella

that's correct

11. welshfella

now you just replace the y by f-1(x)

12. haleyelizabeth2017

okay :) and is it a function?

13. welshfella

yes its the inverse of the function f(x)

14. welshfella

Note you only take the positive square root otherwise it would not be a function

15. haleyelizabeth2017

okay. thank you!

16. welshfella

yw