document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1165860>Question 1165860</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The formula for converting a temperature in degrees Fahrenheit into degrees Celsius is c=5/9(f-32) .<BR>\n" );
document.write( "a) Write the formula in function notation.<BR>\n" );
document.write( "b) Determine f-1. What does the inverse represent?<BR>\n" );
document.write( "c) Use the inverse function to convert 9 °C into degrees Fahrenheit.\r<BR>\n" );
document.write( "\n" );
document.write( "steps needed also </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #790439 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=790439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The formula for converting a temperature in degrees Fahrenheit into degrees Celsius is c=5/9(f-32) .<BR>\n" );
document.write( "a) Write the formula in function notation.<BR>\n" );
document.write( "c = f(f)<BR>\n" );
document.write( "f(f) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F9 ALIGN=MIDDLE  ALT=\"5%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >(f-32)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b) Determine f-1. What does the inverse represent?<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F9 ALIGN=MIDDLE  ALT=\"5%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >(f-32)<BR>\n" );
document.write( "swap c and f and solve for c<BR>\n" );
document.write( " f = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F9 ALIGN=MIDDLE  ALT=\"5%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >(c-32)<BR>\n" );
document.write( "multiply both sides by 9<BR>\n" );
document.write( "9f = 5(c-32)<BR>\n" );
document.write( "9f = 5c - 160<BR>\n" );
document.write( "add 160 to both sides<BR>\n" );
document.write( "9f + 160 = 5c <BR>\n" );
document.write( "or<BR>\n" );
document.write( "5c = 9f + 160<BR>\n" );
document.write( "divide both sides by 5<BR>\n" );
document.write( "f = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F5 ALIGN=MIDDLE  ALT=\"9%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >c + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160%2F5 ALIGN=MIDDLE  ALT=\"160%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F5 ALIGN=MIDDLE  ALT=\"9%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >c + 32<BR>\n" );
document.write( "It represents finding f from a given temp in c<BR>\n" );
document.write( ":<BR>\n" );
document.write( "c) Use the inverse function to convert 9 °C into degrees Fahrenheit.<BR>\n" );
document.write( "steps needed also<BR>\n" );
document.write( "f = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F5 ALIGN=MIDDLE  ALT=\"9%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >(9) + 32<BR>\n" );
document.write( "f = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81%2F5 ALIGN=MIDDLE  ALT=\"81%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 32<BR>\n" );
document.write( "f = 16.2 + 32<BR>\n" );
document.write( "f = 48.2 degrees<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );