document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=886712>Question 886712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem: Find f(k-1)when f(x)=5x^2+5x-7. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #536066 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=536066\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The idea is this: Everywhere you see an 'x', you replace it with k-1. This is what it means to plug in x = k-1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=5x%5E2%2B5x-7 ALIGN=MIDDLE  ALT=\"f%28x%29=5x%5E2%2B5x-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28k-1%29=5%28k-1%29%5E2%2B5%28k-1%29-7 ALIGN=MIDDLE  ALT=\"f%28k-1%29=5%28k-1%29%5E2%2B5%28k-1%29-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace EVERY x with k-1. \r<BR>\n" );
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document.write( "** Take special note of the parenthesis on the right side **\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28k-1%29=5%28k-1%29%28k-1%29%2B5%28k-1%29-7 ALIGN=MIDDLE  ALT=\"f%28k-1%29=5%28k-1%29%28k-1%29%2B5%28k-1%29-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Taking advantage of the fact that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+x%2Ax ALIGN=MIDDLE  ALT=\"x%5E2+=+x%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28k-1%29=5%28k%5E2+-+2k+%2B+1%29%2B5%28k-1%29-7 ALIGN=MIDDLE  ALT=\"f%28k-1%29=5%28k%5E2+-+2k+%2B+1%29%2B5%28k-1%29-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL/expand\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28k-1%29=5%28k%5E2%29+%2B+5%28-+2k%29+%2B+5%281%29%2B5%28k%29+%2B+5%28-1%29-7 ALIGN=MIDDLE  ALT=\"f%28k-1%29=5%28k%5E2%29+%2B+5%28-+2k%29+%2B+5%281%29%2B5%28k%29+%2B+5%28-1%29-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28k-1%29=5k%5E2+-10k+%2B+5%2B5k+-5-7 ALIGN=MIDDLE  ALT=\"f%28k-1%29=5k%5E2+-10k+%2B+5%2B5k+-5-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28k-1%29=5k%5E2%2B%28-10k%2B5k%29+%2B+%285+-5-7%29 ALIGN=MIDDLE  ALT=\"f%28k-1%29=5k%5E2%2B%28-10k%2B5k%29+%2B+%285+-5-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Group like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28k-1%29=5k%5E2-5k+-7 ALIGN=MIDDLE  ALT=\"f%28k-1%29=5k%5E2-5k+-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "It's a lot of work, but hopefully it makes sense. \r<BR>\n" );
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document.write( "So the final answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28k-1%29=5k%5E2-5k+-7 ALIGN=MIDDLE  ALT=\"f%28k-1%29=5k%5E2-5k+-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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