document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039152>Question 1039152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I could use some help on this problem, anything is helpful!\r<BR>\n" );
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document.write( "f(x) = 6x &#8722; 2 \r<BR>\n" );
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document.write( "show that the given function is one-to-one and find its inverse. Check your<BR>\n" );
document.write( "answers algebraically and graphically. Verify that the range of f is the domain of f^&#8722;1 and vice-versa.\r<BR>\n" );
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document.write( "Please help! I really appreciate it! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #653911 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=653911\">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=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C6x-2%2C%28x%2B2%29%2F6%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C6x-2%2C%28x%2B2%29%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This passes the horizontal and vertical line tests and is one-to-one.<BR>\n" );
document.write( "To do the inverse of a function, change the x and y, and if there is an inverse, it will be symmetric around the y=x line. You can reflect the function across the 45 degree line and can see that in the graph.<BR>\n" );
document.write( "For a function f(x)=6x-2<BR>\n" );
document.write( "y=6x-2<BR>\n" );
document.write( "now change the x and y<BR>\n" );
document.write( "x=6y-2<BR>\n" );
document.write( "Solve for y<BR>\n" );
document.write( "x+2=6y<BR>\n" );
document.write( "divide by 6<BR>\n" );
document.write( "(x+2)/6=y<BR>\n" );
document.write( "The inverse is<BR>\n" );
document.write( "x=6y-2<BR>\n" );
document.write( "y=(x+2)/6<BR>\n" );
document.write( "The range of the first function is infinite and so is the domain of the second.<BR>\n" );
document.write( "The range of the second function is also infinite, and so is its domain. </SPAN>\n" );
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