document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=709128>Question 709128</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve these equations please! Thank you! \r<BR>\n" );
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document.write( "Let f(x)= 2x+3 and g(x)=x^2-x Find Each Value\r<BR>\n" );
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document.write( "Problem 1: (f+g)(1/2)\r<BR>\n" );
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document.write( "Problem 2: (f*g)(1)\r<BR>\n" );
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document.write( "Problem 3:(f/g)(2)\r<BR>\n" );
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document.write( "Problem 4: (f of g) (5)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #436395 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=436395\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using just #3 as an example:\r<BR>\n" );
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document.write( "You want the function which is the ratio of f to g, and then evaluate at x=2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29%2Fg%28x%29=%282x%2B3%29%2F%28x%5E2-x%29 ALIGN=MIDDLE  ALT=\"f%28x%29%2Fg%28x%29=%282x%2B3%29%2F%28x%5E2-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and for x=2, evaluate this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Fg%29%282%29=%282%2A2%2B3%29%2F%282%5E2-2%29 ALIGN=MIDDLE  ALT=\"%28f%2Fg%29%282%29=%282%2A2%2B3%29%2F%282%5E2-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and you can finish that.\r<BR>\n" );
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document.write( "Problem #4 is composition of functions.  g(x) is used as input to f(x), and the result is to be evaluated at x=5.\r<BR>\n" );
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document.write( "f(g(x))=2()+3,.... not finished.  We want to put g(x) into the missing parentheses position...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=2%28x%5E2-x%29%2B3 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=2%28x%5E2-x%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-2x%2B3 ALIGN=MIDDLE  ALT=\"2x%5E2-2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > --------we could use either form of the function.<BR>\n" );
document.write( "NOW use x=5 and evaluate f(g(5)). </SPAN>\n" );
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