Please help! I have an exam at nine and I don't understand how to solve this..
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OpenStudy (kaylaprincess):
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!!
OpenStudy (kaylaprincess):
@Nnesha @Jaynator495 @Abhisar @ganeshie8 i have an exam soom, can you show me these steps to solve this??
Nnesha (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
OpenStudy (kaylaprincess):
multiply by five to get rid of the fraction?
Nnesha (nnesha):
yes right
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OpenStudy (kaylaprincess):
doing the work one moment
OpenStudy (kaylaprincess):
oh so x = 3y - 4 ?
Nnesha (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
OpenStudy (kaylaprincess):
5x = 3y - 4 ?
Nnesha (nnesha):
yes right
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OpenStudy (kaylaprincess):
add four now ?
OpenStudy (kaylaprincess):
5x + 4 = 3y ?
Nnesha (nnesha):
good right
Nnesha (nnesha):
looks good last step!
OpenStudy (kaylaprincess):
divide by three ?
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Nnesha (nnesha):
that's it!
OpenStudy (kaylaprincess):
Thank you so much for your help and time! I really appreciate it.