document.write( "Question 1196268: If $\"+g%28x%29=+%2811-x%29%2F%286x%2B5%29\"$ and f(x) is the inverse of g(x), determine the value of f(-1).\r
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Algebra.Com's Answer #829040 by ikleyn(52800) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "About inverse function, read and learn from your textbook, or,
\n" ); document.write( "if you do not have it, then from this Wikipedia article\r
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\n" ); document.write( "\n" ); document.write( "https://en.wikipedia.org/wiki/Inverse_function\r
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document.write( "Simply saying, the problem wants you find x such that\r\n" );
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document.write( "     = -1.\r\n" );
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document.write( "To solve this equation, multiply both sides by (6x+5), riding off the denominator.  You will get\r\n" );
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document.write( "    11-x = (-1)*(6x+5).\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    11 - x = -6x - 5\r\n" );
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document.write( "    6x - x = -5 - 11\r\n" );
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document.write( "       5x  =   -16\r\n" );
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document.write( "        x  =   .\r\n" );
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document.write( "ANSWER.   x = .\r\n" );
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document.write( "CHECK.     =  =  =  = -1.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Notice, and it is IMPORTANT, that for solving this (and many other similar problems)\r
\n" ); document.write( "\n" ); document.write( "you do not need to seek for an explicit formula for the inverse function.\r
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\n" ); document.write( "\n" ); document.write( "Your question is about a local value of an inverse function,\r
\n" ); document.write( "\n" ); document.write( "and in such cases the solution of the direct equation is just enough.\r
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\n" ); document.write( "\n" ); document.write( "It is a MAJOR trick and a MAJOR lesson to learn from my post and to apply it in many other similar problems.\r
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