document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1069948>Question 1069948</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A function is given: f(x)=3x+12\r<BR>\n" );
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document.write( "a. Determine the inverse of this function and name it g(x).<BR>\n" );
document.write( "b. Use composite functions to show that these functions are inverses.<BR>\n" );
document.write( "c. Evaluate f(g(-2)). Explain: What is the domain? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #685056 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=685056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x%2B12 ALIGN=MIDDLE  ALT=\"y=3x%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Interchange x and y,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3y%2B12 ALIGN=MIDDLE  ALT=\"x=3y%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y=x-12 ALIGN=MIDDLE  ALT=\"3y=x-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-12%29%2F3 ALIGN=MIDDLE  ALT=\"y=%28x-12%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This new y is the inverse of the original function,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=%28x-12%29%2F3 ALIGN=MIDDLE  ALT=\"g%28x%29=%28x-12%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%29=3g%2B12=3%28%28x-12%29%2F3%29%2B12=x-12%2B12=x ALIGN=MIDDLE  ALT=\"f%28g%29=3g%2B12=3%28%28x-12%29%2F3%29%2B12=x-12%2B12=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%29=%28f-12%29%2F3=%283x%2B12-12%29%2F3=%283x%29%2F3=x ALIGN=MIDDLE  ALT=\"g%28f%29=%28f-12%29%2F3=%283x%2B12-12%29%2F3=%283x%29%2F3=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "f and g are inverses.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28-2%29%29=-2 ALIGN=MIDDLE  ALT=\"f%28g%28-2%29%29=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "As shown in b.<BR>\n" );
document.write( "Domain is all real numbers.<BR>\n" );
document.write( "Range is all real numbers.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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