document.write( "Question 1041901: Given f(x)=2^x ... show that f(x+3)-f(x-1) = 15/2 f(x) \n" ); document.write( "
Algebra.Com's Answer #656817 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
\"system%28f%28x%2B3%29=2%5E%28x%2B3%29%2Cf%28x-1%29=2%5E%28x-1%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2%5E%28x%2B3%29-2%5E%28x-1%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Rules for Exponents gives
\n" ); document.write( "\"%282%5Ex%29%282%5E3%29-%282%5Ex%29%282%5E%28-1%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Distributive Property, in reverse gives
\n" ); document.write( "\"%282%5Ex%29%282%5E3-2%5E%28-1%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%282%5Ex%29%282%5E3-1%2F2%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%282%5Ex%29%288-1%2F2%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%282%5Ex%29%2816%2F2-1%2F2%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%282%5Ex%29%2815%2F2%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%2815%2F2%29%282%5Ex%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Substitute the given function def.
\n" ); document.write( "\"%2815%2F2%29f%28x%29\"-------Result to be proved, DONE.
\n" ); document.write( "
\n" );