Please help! I have an exam at nine and I don't understand how to solve this..

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Please help! I have an exam at nine and I don't understand how to solve this..

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

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Other answers:

multiply by five to get rid of the fraction?
yes right
doing the work one moment
oh so x = 3y - 4 ?
you should multiply both sides one u do something to the one side you Have to do the same thing to the opposite side
5x = 3y - 4 ?
yes right
add four now ?
5x + 4 = 3y ?
good right
looks good last step!
divide by three ?
that's it!
Thank you so much for your help and time! I really appreciate it.
np :=) good work!
thank you <3

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