document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=402167>Question 402167</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with the following: \r<BR>\n" );
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document.write( "1. Is the graph of f(x) = x^1171&#8722;5x^109 +3 y-axis symmetirc, origin symmetric, or neither one. Explain your answer. \r<BR>\n" );
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document.write( "2. If f(x)= x+2 over x^2+1 and g(x) = 2 over x, determine f(3), g(3), (f + g)(3), (f &#8722; g)(3), (fg)(3), (f over g) (3), f &#9702; g(3), and g &#9702; f(3). \r<BR>\n" );
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document.write( "4. If f(x)= 2x-3 over 4x+5, detemine a formula for f^-1(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 #284510 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=284510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Is the graph of f(x) = x^1171&#8722;5x^109 +3 y-axis symmetirc, origin symmetric, or neither one. Explain your answer.<BR>\n" );
document.write( "f(-x) = (-x)^1171-5(-x)^109<BR>\n" );
document.write( "= -x^1171+5x^109<BR>\n" );
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document.write( "-f(-x) = x^1171-5x^109<BR>\n" );
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document.write( "Since f(-x) is not equal to f(x) f is not y-axis symmetric.<BR>\n" );
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document.write( "Since -f(-x) equals f(x) f is origin symmetric.<BR>\n" );
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document.write( "2. If f(x)= x+2 over x^2+1 and g(x) = 2 over x, determine f(3), g(3), (f + g)(3), (f &#8722; g)(3), (fg)(3), (f over g) (3), f &#9702; g(3), and g &#9702; f(3).<BR>\n" );
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document.write( "You'll have to try those yourself and post your answers for review.<BR>\n" );
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document.write( "4. If f(x)= 2x-3 over 4x+5, detemine a formula for f^-1(x).<BR>\n" );
document.write( "1st: Interchange x and y to get:<BR>\n" );
document.write( "x = (2y-3)/(4y+5)<BR>\n" );
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document.write( "2nd: Solve for \"y\":<BR>\n" );
document.write( "4xy+5x = 2y-3<BR>\n" );
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document.write( "2y-4xy = 5x+3<BR>\n" );
document.write( "(2-4x)y = 5x+3<BR>\n" );
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document.write( "y = (5x+3)/(2-4x)<BR>\n" );
document.write( "That is f^-1(x)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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