## anonymous one year ago Please help! I have an exam at nine and I don't understand how to solve this..

1. anonymous

This is off my study guide. The question asks which of the expressions are correct. I see the answer but I don't know how they got it... I need step by step process to see!!

2. anonymous

@Nnesha @Jaynator495 @Abhisar @ganeshie8 i have an exam soom, can you show me these steps to solve this??

3. Nnesha

f(x) is same as y so we can replace f(x) with y $\huge\rm \color{reD}{y}=\frac{ 3\color{blue}{x}-4 }{ 5 }$ now to find inverse(f^{-1}(x) ) you should switch x and y  $\huge\rm \color{blue}{x}=\frac{ 3\color{red}{y}-4 }{ 5 }$ now solve for y

4. anonymous

multiply by five to get rid of the fraction?

5. Nnesha

yes right

6. anonymous

doing the work one moment

7. anonymous

oh so x = 3y - 4 ?

8. Nnesha

you should multiply both sides one u do something to the one side you Have to do the same thing to the opposite side

9. anonymous

5x = 3y - 4 ?

10. Nnesha

yes right

11. anonymous

add four now ?

12. anonymous

5x + 4 = 3y ?

13. Nnesha

good right

14. Nnesha

looks good last step!

15. anonymous

divide by three ?

16. Nnesha

that's it!

17. anonymous

Thank you so much for your help and time! I really appreciate it.

18. Nnesha

np :=) good work!

19. anonymous

thank you <3