This is not correct Can anyone spot what mistake I have made??
f(x)=2x1+2xlety=2x1+2xAn initial inspection tells me that y>0make x the subjecty=2x1+2x1y=1+2x2x1y=12x+2x2x1y=12x+11y−1=2−x1−yy=2−xlog2(1−yy)=log2(2−x)log2(1−yy)=−x∗log2(2)log2(1−yy)=−xx=−log2(1−yy)x=log2((1−yy)−1)x=−log2(y1−y)∴f−1(x)=−log2(x1−x)
I have graphed this here
https://www.desmos.com/calculator/qt6xarwxbp
AND IT IS NOT CORRECT
Can anyone spot what mistake I have made??