document.write( "Question 1080408: Find the inverse of f(x)=-3+ln(x-5). \n" ); document.write( "
Algebra.Com's Answer #694533 by rapture(86)![]() ![]() You can put this solution on YOUR website! f(x) = -3+ln(x-5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let f(x) = y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -3+ln(x-5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Exchange x and y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -3+ln(y-5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 3 to both sides.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 3 = ln(y - 5)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Raise both sides with e as the base.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "e^(x + 3) = e^(ln(y - 5))\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "e^(x + 3) = y - 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add 5 to both sides.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "e^(x + 3) + 5 = y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Replace y with the inverse notation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: f^(-1) x = e^(x + 3) + 5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |