document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=369117>Question 369117</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Verify that the two functions are inverse functions algebraically \r<BR>\n" );
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document.write( "f(x)= 4x+9        g(x)= x-9/4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #263265 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=263265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (Note: Please put multiple term numerators and denominators in parentheses. As you posted it, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+x+-9%2F4 ALIGN=MIDDLE  ALT=\"g%28x%29+=+x+-9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is NOT the inverse of f(x). What you meant was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+%28x-9%29%2F4 ALIGN=MIDDLE  ALT=\"g%28x%29+=+%28x-9%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > which should be posted as g(x) = (x-9)/4. Tutors are more likely to help when the problems are posted clearly.<br><BR>\n" );
document.write( "To determine if functions f and g are inverses of each other, find f(g(x)) and g(f(x)). They should be equal to x.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29+=+f%28%28x-9%29%2F4%29+=+4%28%28x-9%29%2F4%29+%2B+9+=+cross%284%29%28%28x-9%29%2Fcross%284%29%29+%2B+9+=+%28x-9%29+%2B+9+=+x ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28x%29%29+=+g%284x%2B9%29+=+%28%284x%2B9%29+-+9%29%2F4+=+%284x%29%2F4+=+%28cross%284%29%2Ax%29%2Fcross%284%29+=+x ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "f(g(x)) = g(f(x)) = x. So f anf g are inverses of each other. </SPAN>\n" );
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