document.write( "Question 1043435: if h(x+1)=3h(x)+4 over 3 for all positive integers x and h(1)= -2/3, what is the value of h(3) \n" ); document.write( "
Algebra.Com's Answer #658610 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "What's \"over 3\" mean, the whole 3h(x)+4 over 3 or just the 4\r\n" );
document.write( "over 3?\r\n" );
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document.write( "Assuming you meant \"%22h%28x%2B1%29%22%29\"\"%22%22=%22%22\"\"%283%2A%22h%28x%29%22%2B4%29%2F3\"\r\n" );
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document.write( "Let x=1 in \r\n" );
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document.write( "\"%22h%28x%2B1%29%22%29\"\"%22%22=%22%22\"\"%283%2A%22h%28x%29%22%2B4%29%2F3\"\r\n" );
document.write( "\"%22h%281%2B1%29%22%29\"\"%22%22=%22%22\"\"%283%2A%22h%281%29%22%2B4%29%2F3\"\r\n" );
document.write( "\"%22h%282%29%22%29\"\"%22%22=%22%22\"\"%283%2A%22h%281%29%22%2B4%29%2F3\"\r\n" );
document.write( "\"%22h%282%29%22%29\"\"%22%22=%22%22\"\"%283%2A%28-2%2F3%29%2B4%29%2F3\"\r\n" );
document.write( "\"%22h%282%29%22%29\"\"%22%22=%22%22\"\"%28-2%2B4%29%2F3\"\r\n" );
document.write( "\"%22h%282%29%22%29\"\"%22%22=%22%22\"\"2%2F3\"\r\n" );
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document.write( "Let x=2 in \r\n" );
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document.write( "\"%22h%28x%2B1%29%22%29\"\"%22%22=%22%22\"\"%283%2A%22h%28x%29%22%2B4%29%2F3\"\r\n" );
document.write( "\"%22h%282%2B1%29%22%29\"\"%22%22=%22%22\"\"%283%2A%22h%282%29%22%2B4%29%2F3\"\r\n" );
document.write( "\"%22h%283%29%22%29\"\"%22%22=%22%22\"\"%283%2A%222%2F3%22%2B4%29%2F3\"\r\n" );
document.write( "\"%22h%283%29%22%29\"\"%22%22=%22%22\"\"%282%2B4%29%2F3\"\r\n" );
document.write( "\"%22h%283%29%22%29\"\"%22%22=%22%22\"\"%286%29%2F3\"\r\n" );
document.write( "\"%22h%283%29%22%29\"\"%22%22=%22%22\"\"2\"\r\n" );
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document.write( "-----------\r\n" );
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document.write( "Assuming you meant \"%22h%28x%2B1%29%22%29\"\"%22%22=%22%22\"\"3%2A%22h%28x%29%22%2B4%2F3\"\r\n" );
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document.write( "Let x=1 in \r\n" );
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document.write( "\"%22h%28x%2B1%29%22%29\"\"%22%22=%22%22\"\"3%2A%22h%28x%29%22%2B4%2F3\"\r\n" );
document.write( "\"%22h%281%2B1%29%22%29\"\"%22%22=%22%22\"\"3%2A%22h%281%29%22%2B4%2F3\"\r\n" );
document.write( "\"%22h%282%29%22%29\"\"%22%22=%22%22\"\"3%2A%22h%281%29%22%2B4%2F3\"\r\n" );
document.write( "\"%22h%282%29%22%29\"\"%22%22=%22%22\"\"3%2A%28-2%2F3%29%2B4%2F3\"\r\n" );
document.write( "\"%22h%282%29%22%29\"\"%22%22=%22%22\"\"-2%2B4%2F3\"\r\n" );
document.write( "\"%22h%282%29%22%29\"\"%22%22=%22%22\"\"-6%2F3%2B4%2F3\"\r\n" );
document.write( "\"%22h%282%29%22%29\"\"%22%22=%22%22\"\"-2%2F3\"\r\n" );
document.write( "\r\n" );
document.write( "Let x=2 in \r\n" );
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document.write( "\"%22h%28x%2B1%29%22%29\"\"%22%22=%22%22\"\"3%2A%22h%28x%29%22%2B4%2F3\"\r\n" );
document.write( "\"%22h%282%2B1%29%22%29\"\"%22%22=%22%22\"\"3%2A%22h%282%29%22%2B4%29%2F3\"\r\n" );
document.write( "\"%22h%283%29%22%29\"\"%22%22=%22%22\"\"3%2A%28-2%2F3%29%2B4%2F3\"\r\n" );
document.write( "\"%22h%283%29%22%29\"\"%22%22=%22%22\"\"-2%2B4%2F3\"\r\n" );
document.write( "\"%22h%283%29%22%29\"\"%22%22=%22%22\"\"-6%2F3%2B4%2F3\"\r\n" );
document.write( "\"%22h%283%29%22%29\"\"%22%22=%22%22\"\"-2%2F3\"\r\n" );
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document.write( "This is the more interesting case, since \r\n" );
document.write( "\"h%28x%29=+-2%2F3\" for all values of x.  h(x)\r\n" );
document.write( "is a constant function.\r\n" );
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document.write( "Edwin
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