document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=803502>Question 803502</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to find the domain of the following function algebraically. f(x)=4x-7<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 #484394 by </B><A HREF=/tutors/aboutme.mpl?userid=cabdi809><B>cabdi809(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cabdi809><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=484394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. \r<BR>\n" );
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document.write( "All real numbers \r<BR>\n" );
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document.write( "i did it by inverse \r<BR>\n" );
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document.write( "f(x)=4x&#8722;7\r<BR>\n" );
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document.write( "To find the inverse of the function, interchange the variables and solve for y.\r<BR>\n" );
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document.write( "x=4y&#8722;7\r<BR>\n" );
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document.write( "Since y is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation. \r<BR>\n" );
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document.write( "4y&#8722;7=x\r<BR>\n" );
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document.write( "Since &#8722;7 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 7 to both sides. \r<BR>\n" );
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document.write( "4y=7+x\r<BR>\n" );
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document.write( "Move all terms not containing y to the right-hand side of the equation. \r<BR>\n" );
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document.write( "4y=x+7\r<BR>\n" );
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document.write( "Divide each term in the equation by 4.\r<BR>\n" );
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document.write( "4y4=14x+74\r<BR>\n" );
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document.write( "y=14x+74\r<BR>\n" );
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document.write( "Replace the y with f&#8722;1(x) to show the final answer. \r<BR>\n" );
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document.write( "f&#8722;1(x)=14x+74\r<BR>\n" );
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document.write( "Find the composition of f(x)=4x&#8722;7 and its inverse f&#8722;1(x)=x4+74 to verify it is the inverse of f(x)=4x&#8722;7. If f(f&#8722;1(x))=x, then f&#8722;1(x)=x4+74 is the inverse of f(x).\r<BR>\n" );
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document.write( "Verify f(f&#8722;1(x))=x\r<BR>\n" );
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document.write( "Find the composition f(f&#8722;1(x)).\r<BR>\n" );
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document.write( "More Detail<BR>\n" );
document.write( "f(14x+74)=x\r<BR>\n" );
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document.write( "Since f(f&#8722;1(x))=x,f&#8722;1(x)=x4+74 is the inverse of f(x)=4x&#8722;7.\r<BR>\n" );
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document.write( "f&#8722;1(x)=14x+74 \r<BR>\n" );
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document.write( "I hope that helped </SPAN>\n" );
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