document.write( "Question 1094700: let f(x)=2x-3
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Algebra.Com's Answer #709318 by ikleyn(52791) $\"\"$ $\"About$

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\n" ); document.write( "let f(x)=2x-3
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\n" ); document.write( "\n" ); document.write( "So, the question (after editing) is \r
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document.write( "    \"find the value \".\r\n" );
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document.write( "First,  we must calculate  f^(-1)(5).\r\n" );
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document.write( "f^(-1)  of  5  is  that  \"x\"  which  makes  2x-3  equal to  5:  2x-3 = 5.\r\n" );
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document.write( "It is easy to see  (by solving this equation)  that  x =  =  = 4.\r\n" );
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document.write( "Thus    = 4.\r\n" );
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document.write( "Next,  we must calculate f(4).  It is more than easy:  f(4) = 2*4 - 3 = 8-3 = 5.\r\n" );
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document.write( "Answer.  (fof^(-1))(5) = 5.\r\n" );
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document.write( "     Or   = 5.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Notice that we started with the number 5, and ended with the same number.\r
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\n" ); document.write( "\n" ); document.write( "This fact is not a random event.\r
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\n" ); document.write( "\n" ); document.write( "Until the functions f and f^(-1) are one-to-one onto-maps, the composition (fof(-1)) is identical map.\r
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\n" ); document.write( "\n" ); document.write( "If the meaning of these words goes out of your understanding now, then, perhaps, you will learn it later in your further studying of Math.\r
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