document.write( "Question 634750: What is the inverse function of \r
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document.write( "f(x)= 3^(x-1) -2\r
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document.write( "I thought I would get
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document.write( "x= 3^y-1 -2
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document.write( "then x+2 =3^y-1
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document.write( "then logs but I am confused \n" );
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Algebra.Com's Answer #399888 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! What is the inverse function of \n" ); document.write( "f(x)= 3^(x-1) -2 \n" ); document.write( "y= 3^(x-1) -2 \n" ); document.write( "to find the inverse, interchange x and y, then solve for y \n" ); document.write( ".. \n" ); document.write( "x=3^(y-1)-2 \n" ); document.write( "x+2=3^(y-1) \n" ); document.write( "take log of both sides \n" ); document.write( "log(x+2)=(y-1)log3=ylog3-log3 \n" ); document.write( "log(x+2)+log3=ylog3 \n" ); document.write( "Inverse,y^-1=(log(x+2)+log3)/log3 \n" ); document.write( " |