document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194580>Question 1194580</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. A right triangle has one leg one fourth as long as the other. Find a function that models its perimeter P in terms of the length s of the shorter leg only (ie P(s) =....).\r<BR>\n" );
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document.write( "The legs of a right triangle are the two sides that form the right angle.\r<BR>\n" );
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document.write( "You may want to draw a diagram for this, but we want P as a function of s only.\r<BR>\n" );
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document.write( "2. Find the Domain and Range of the function f(x) = LaTeX: \frac{x-1}{x+3}.<BR>\n" );
document.write( "You will need to find the inverse function f-1(x) in order to get your answer.\r<BR>\n" );
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document.write( "a) Domain of f. Explain why.\r<BR>\n" );
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document.write( "b) Range of f. Explain why.\r<BR>\n" );
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document.write( "c) What would be the Range of f-1(x)? Explain why. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826810 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52802)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=826810\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "<H3>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Problem 1</H3>\r<BR>\n" );
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document.write( "Shortest leg is s units long;  longer leg is 4s units long.\r\n" );
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document.write( "The hypotenuse is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28s%5E2+%2B+%284s%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28s%5E2+%2B+%284s%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2817s%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2817s%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%2Asqrt%2817%29 ALIGN=MIDDLE  ALT=\"s%2Asqrt%2817%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > units long.\r\n" );
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document.write( "The perimeter is  P = s + 4s + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%2Asqrt%2817%29 ALIGN=MIDDLE  ALT=\"s%2Asqrt%2817%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5s + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%2Asqrt%2817%29 ALIGN=MIDDLE  ALT=\"s%2Asqrt%2817%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  units long.     <U>ANSWER</U>\r\n" );
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document.write( "Solved and explained.\r<BR>\n" );
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document.write( "Do not pack more than one problem per post.\r<BR>\n" );
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document.write( "It is the rule and the policy of this forum.\r<BR>\n" );
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document.write( "About the rules, &nbsp;see this web-page\r<BR>\n" );
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document.write( "https://www.algebra.com/tutors/students/ask.mpl?action=ask_question&topic=Equations&return_url=http://www.algebra.com/algebra/homework/equations/\r<BR>\n" );
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document.write( "from which you post your problems.\r<BR>\n" );
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document.write( "You posted your question to me . . .  Below is the answer.\r<BR>\n" );
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document.write( "The problem asks to find the perimeter in terms of shortest leg.\r<BR>\n" );
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document.write( "The problem also says that one leg is one fourth as long as the other.\r<BR>\n" );
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document.write( "It makes it clear that if we denote the shortest leg as &nbsp;\" s \", &nbsp;then the other leg is &nbsp;4s.\r<BR>\n" );
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document.write( "After that, &nbsp;the solution goes smoothly as in my post above.\r<BR>\n" );
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document.write( "This my clarification is from the area of &nbsp;OBVIOUS &nbsp;facts, &nbsp;isn't it ?\r<BR>\n" );
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document.write( " </SPAN>\n" );
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