document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=392564>Question 392564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if f(x)=9x-5 what is f^-1(5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #278627 by </B><A HREF=/tutors/aboutme.mpl?userid=haileytucki><B>haileytucki(390)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=haileytucki><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=haileytucki><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=278627\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=9x-5_f^(-1)(5)\r<BR>\n" );
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document.write( "To find the inverse of the function, interchange the variables and solve for f^(-1)(x).<BR>\n" );
document.write( "x=9f^(-1)(x)-5\r<BR>\n" );
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document.write( "Since f^(-1)(x) is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.<BR>\n" );
document.write( "9f^(-1)(x)-5=x\r<BR>\n" );
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document.write( "Since -5 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 5 to both sides.<BR>\n" );
document.write( "9f^(-1)(x)=5+x\r<BR>\n" );
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document.write( "Move all terms not containing f^(-1)(x) to the right-hand side of the equation.<BR>\n" );
document.write( "9f^(-1)(x)=x+5\r<BR>\n" );
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document.write( "Divide each term in the equation by 9.<BR>\n" );
document.write( "(9f^(-1)(x))/(9)=(x)/(9)+(5)/(9)\r<BR>\n" );
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document.write( "Simplify the left-hand side of the equation by canceling the common factors.<BR>\n" );
document.write( "f^(-1)(x)=(x)/(9)+(5)/(9)\r<BR>\n" );
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document.write( "Combine the numerators of all expressions that have common denominators.<BR>\n" );
document.write( "f^(-1)(x)=(x+5)/(9)\r<BR>\n" );
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document.write( "Evaluate the inverse f^(-1) at x=5.<BR>\n" );
document.write( "f^(-1)(5)=((5)+5)/(9)\r<BR>\n" );
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document.write( "Simplify the function.<BR>\n" );
document.write( "f^(-1)(5)=(10)/(9) </SPAN>\n" );
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