document.write( "Question 482940:  Find the inverse of the function f(x)= -2log3(x-1)+4
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document.write( "The '3' is the base of the logarithm. The coefficient and the '+4' part are throwing me off so if you could show me how to do it with or without the answer I'd appreciate it \n" );
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| Algebra.Com's Answer #330508 by stanbon(75887)      You can put this solution on YOUR website! Find the inverse of the function \n" ); document.write( "f(x)= -2log3(x-1)+4 \n" ); document.write( "---- \n" ); document.write( "1st: Interchange x and y \n" ); document.write( "x = -2log3(y-1) + 4 \n" ); document.write( "---- \n" ); document.write( "2nd: Solve for \"y\": \n" ); document.write( "-2log3(y-1) = x-4 \n" ); document.write( "--- \n" ); document.write( "divide by -2 to get: \n" ); document.write( "log3(y-1) = (4-x)/2 \n" ); document.write( "--- \n" ); document.write( "y-1 = 3^(4-x)/2 \n" ); document.write( "---- \n" ); document.write( "y = 3^[(4-x)/2] +1 \n" ); document.write( "---- \n" ); document.write( "That is the inverse function. \n" ); document.write( "============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |