document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=2243>Question 2243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 22. If f(x)=x^2 and g(x)=x+2, find f[g(x)]\r<BR>\n" );
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document.write( "23. If f(x)=x^3+4 and g(x)=x+3, find [g•f](2)\r<BR>\n" );
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document.write( "24. Find the inverse of the function f(x)=4x+1.\r<BR>\n" );
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document.write( "25. Which of the following pairs of functions are inverse functions?<BR>\n" );
document.write( "   a. f(x)=3x-9, g(x)=-3x+9<BR>\n" );
document.write( "   b. f(x)=4-x, g(x)=4+x<BR>\n" );
document.write( "   c. f(x)=x+5, g(x)=x-5<BR>\n" );
document.write( "   d. f(x)=x, g(x)= -x \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #900 by </B><A HREF=/tutors/aboutme.mpl?userid=khwang><B>khwang(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=khwang><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=900\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 22.  f[g(x)] = f(x+2) =  (x+2)^2.\r<BR>\n" );
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document.write( "23. [g•f](2)= g(f(2)) = g(2^3 + 4) = g(12) = 12+3 = 15\r<BR>\n" );
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document.write( "24. Let y = f(x)=4x+1, then 4x = y - 1, or x =(y - 1)/4.<BR>\n" );
document.write( "    Exchange x,y we have y =(x - 1)/4. <BR>\n" );
document.write( "    Hence, the inverse function is g(x) = (x - 1)/4.\r<BR>\n" );
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document.write( "25. Answer : c. f(x)=x+5, g(x)=x-5<BR>\n" );
document.write( "    Since f[g(x)] = g[f(x)] = x\r<BR>\n" );
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