document.write( "Question 1149579: If f(2x+1)=6x+2 what is f(x) \n" ); document.write( "

Algebra.Com's Answer #770946 by ikleyn(52790) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " Right and CANONICAL way to do it is as follows.\r
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document.write( "Let \"t\" be new variable, t = 2x+1.\r\n" );
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document.write( "Then  x = .\r\n" );
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document.write( "Express  6x+2  via  \"t\" :\r\n" );
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document.write( "    6x+2 =  = 3*(t-1) + 2 = 3t - 3 + 2 = 3t-1.\r\n" );
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document.write( "Thus  f(t) = 3t-1.\r\n" );
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document.write( "Here \"t\" is  a \"mute\" / (\"silent\") variable.  It can be replaced by ANY symbol in both sides simultaneously.\r\n" );
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document.write( "For example, it can be replaced by x.  So\r\n" );
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document.write( "    f(x) = 3x-1.      ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Done, completed and explained.\r
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\n" ); document.write( "\n" ); document.write( "This my post is the standard MANTRA to use for solution to each and every similar problem.\r
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\n" ); document.write( "\n" ); document.write( " // Mantra is called \"mantra\", because it DOES NOT ALLOW to change any word (!)\r
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