document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122924>Question 1122924</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose f, g, h, and j are functions such that:\r<BR>\n" );
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document.write( "f(r) represents the circumference (in cm) of a circle whose radius is r cm.<BR>\n" );
document.write( "g(c) represents the radius (in cm) of a circle whose circumference is C cm.<BR>\n" );
document.write( "h(r) represents the area (in cm2) of a circle whose radius is r cm.<BR>\n" );
document.write( "j(a) represents the radius (in cm) of a circle whose area is A cm2.\r<BR>\n" );
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document.write( "a. Use function notation to represent the area of a circle whose circumference is 109 cm.\r<BR>\n" );
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document.write( "b. Use function notation to represent the circumference of a circle whose area is 6.75 cm2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #739271 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=739271\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose f, g, h, and j are functions such that: <BR>\n" );
document.write( "f(r) represents the circumference (in cm) of a circle whose radius is r cm.<BR>\n" );
document.write( "g(c) represents the radius (in cm) of a circle whose circumference is C cm.<BR>\n" );
document.write( "h(r) represents the area (in cm2) of a circle whose radius is r cm.<BR>\n" );
document.write( "j(a) represents the radius (in cm) of a circle whose area is A cm2. \r<BR>\n" );
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document.write( "a. Use function notation to represent the area of a circle whose circumference is 109 cm.\r<BR>\n" );
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document.write( "the formula for the area of a circle is A = pi * r^2\r<BR>\n" );
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document.write( "you are given that g(c) represents the radius of a circle whose circumference is c.\r<BR>\n" );
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document.write( "therefore, replace r with g(c) and the formula becomes:\r<BR>\n" );
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document.write( "A = pi * g(c)^2\r<BR>\n" );
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document.write( "when the circumference is 109 cm, the formula becomes:\r<BR>\n" );
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document.write( "A = pi * g(109)^2\r<BR>\n" );
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document.write( "b. Use function notation to represent the circumference of a circle whose area is 6.75 square cm.\r<BR>\n" );
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document.write( "the formula for the circumference of a circle is C = 2 * pi * r.\r<BR>\n" );
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document.write( "you are given that j(a) represents the radius of a circle whose area is a square centimeters.\r<BR>\n" );
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document.write( "therefore, replace r with j(a) to get:\r<BR>\n" );
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document.write( "C = 2 * pi * j(a)\r<BR>\n" );
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document.write( "when a is 6.75 square centimeters, the formula becomes:\r<BR>\n" );
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document.write( "C = 2 * pi * j(6.75)\r<BR>\n" );
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document.write( "here's a reference on functional notation you might find useful.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://mathbitsnotebook.com/Algebra1/Functions/FNNotationEvaluation.html\" target = \"_blank\">https://mathbitsnotebook.com/Algebra1/Functions/FNNotationEvaluation.html</a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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