document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=991885>Question 991885</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve: Find f(k-1) when f(x) = 4x^2 - 3x + 7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #611625 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=611625\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = 4x^2 - 3x + 7\r<BR>\n" );
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document.write( "f(k-1) = 4(k-1)^2 - 3(k-1) + 7\r<BR>\n" );
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document.write( "you just replace x with (k-1).\r<BR>\n" );
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document.write( "the rest is just simplification.\r<BR>\n" );
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document.write( "(k-1)^2 = k^2 - 2k + 1\r<BR>\n" );
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document.write( "the equation becomes:\r<BR>\n" );
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document.write( "f(k-1) = 4(k^2 - 2k + 1) - 3(k-1) + 7\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "f(k-1) = 4k^2 - 8k + 4 - 3k + 3 + 7\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "f(k-1) = 4k^2 - 11k + 14.\r<BR>\n" );
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document.write( "that's your solution.\r<BR>\n" );
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document.write( "i verified that's it's true.<BR>\n" );
document.write( "i did it by making x = 5 and then evaluating the original equation.<BR>\n" );
document.write( "i then made k = 6 and evaluated the final equation.<BR>\n" );
document.write( "the answers were the same which confirms the solution is correct.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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