determine whether g(x)=x/8 has an inverse function

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Q) Determine whether g(x) = x/8 has an inverse function.

Going through the steps that I have in this book, I get the following:

step1kq5.jpg

imagecx5.jpg

imagedi3.jpg

imageen9.jpg


Is this correct?
 
Interchange \(\displaystyle x,y\) to get
\(\displaystyle x=y/8\)
\(\displaystyle y=8x\) as the inverse function.
 
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