document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=462531>Question 462531</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let the function \"f\" be defined by f(x)= x + 1.  If 2f(p)=20, what is the value of f(3p)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #317077 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=317077\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the function \"f\" be defined by f(x)= x + 1.  If 2f(p)=20, what is the value of f(3p)?<BR>\n" );
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document.write( "We will solve this problem by making a series of substitutions. First, we want to find the value of p. Then we can use the definition of the function f to find the value of f(3p).<BR>\n" );
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document.write( "We are given<BR>\n" );
document.write( "f(x) = x + 1<BR>\n" );
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document.write( "Multiply both sides by 2, and simplify.<BR>\n" );
document.write( "2f(x) = 2(x + 1) <BR>\n" );
document.write( "2f(x) = 2x + 2<BR>\n" );
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document.write( "Let x = p.<BR>\n" );
document.write( "2f(p) = 2(p) + 2<BR>\n" );
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document.write( "We are given that 2f(p) = 20. Substitute 20 for 2f(p).<BR>\n" );
document.write( "20 = 2p + 2<BR>\n" );
document.write( "2p = 18<BR>\n" );
document.write( "p = 9<BR>\n" );
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document.write( "Now we know that p = 9, so we can find f(3p). <BR>\n" );
document.write( "f(x) = x + 1<BR>\n" );
document.write( "f(3p) = 3p + 1.<BR>\n" );
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document.write( "Substitute 9 for p.<BR>\n" );
document.write( "f(3p) = 3(9) + 1<BR>\n" );
document.write( "f(3p) = 27 + 1<BR>\n" );
document.write( "f(3p) = 28<BR>\n" );
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document.write( "hope this helps!<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex<BR>\n" );
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