document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=134933>Question 134933</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the following pairs are invers of eachother\r<BR>\n" );
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document.write( "a. f9x0=8x-7 and g(x)=x+8/7\r<BR>\n" );
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document.write( "b. f(x)= 1/x and g(x)= 1/x\r<BR>\n" );
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document.write( "c. f(x)= 2x+3/x-1 and g(x)=x+3/x-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98823 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=98823\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine whether the following pairs are invers of eachother\r<BR>\n" );
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document.write( "a. f(x)=8x-7 and g(x)=(x+8)/7<BR>\n" );
document.write( "fog(x)= f[(x+8)/7] = 8[(x+8)/7]<BR>\n" );
document.write( "They are not inverse as the result has to be \"x\" if f and g are inverse.<BR>\n" );
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document.write( "b. f(x)= 1/x and g(x)= 1/x<BR>\n" );
document.write( "fog(x) = f(1/x) = 1/(1/x) = x<BR>\n" );
document.write( "gof(x) = g(1/x) = 1/(1/x) = x<BR>\n" );
document.write( "There are inverse to one another.<BR>\n" );
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document.write( "c. f(x)= 2x+3/x-1 and g(x)=x+3/x-2<BR>\n" );
document.write( "fog(x) = f[(x+3)/(x-2)] = [2[(x+3)/(x-2)]+3]/[(x+3)/(x-2)-1]<BR>\n" );
document.write( "= [(2x+6)+3(x-2)]/(x-2) /  [(x+3 -x+2]/(x-2)\r<BR>\n" );
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document.write( "= [2x+6 + 3x-6]/[5]\r<BR>\n" );
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document.write( "= [5x]/5 = x<BR>\n" );
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document.write( "If you have the patience, check gof(x) to see if you \"x\"<BR>\n" );
document.write( "If you do, f and g are inverse.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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