document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=959514>Question 959514</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that f(x)=x-2, g(x)= -3x^2 +15x-1, and h(x)= square root x-4, find the following and give the domain in interval notation.<BR>\n" );
document.write( "(f+h)(29)<BR>\n" );
document.write( "(f-g)(-5)<BR>\n" );
document.write( "(f+g)(x)\r<BR>\n" );
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document.write( "Given that f(x)=2x-3, and g(x)=3x^2-2x-1, find each of the following and give the domain in interval notation.<BR>\n" );
document.write( "(f of g)(-1)<BR>\n" );
document.write( "(f of f)(x)<BR>\n" );
document.write( "(f of g)(x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586494 by </B><A HREF=/tutors/aboutme.mpl?userid=satyareddy22><B>satyareddy22(84)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=satyareddy22><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=586494\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=x-2, g(x)= -3x^2 +15x-1, and h(x)= square root x-4<BR>\n" );
document.write( "(f+h)=(x-2)+sqrt(x-4)<BR>\n" );
document.write( "(f+h)(29)=(29-2)+sqrt(29-4)=27+sqrt(25)=27+5=32<BR>\n" );
document.write( "(f+h)(29)=32\r<BR>\n" );
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document.write( "(f-g)=(x-2)-(-3x^2 +15x-1)=x-2+3x^2-15x+1=3x^2-14x-1<BR>\n" );
document.write( "(f-g)(-5)=3(-5)^2-14(-5)-1=3(25)+70-1=75+70-1=145-1=144<BR>\n" );
document.write( "(f-g)(-5)=144\r<BR>\n" );
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document.write( "(f+g)=(x-2)+(-3x^2 +15x-1)=x-2-3x^2 +15x-1=-3x^2+16x-3<BR>\n" );
document.write( "(f+g)(x) = -3x^2+16x-3\r<BR>\n" );
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document.write( "f(x)=2x-3, and g(x)=3x^2-2x-1<BR>\n" );
document.write( "(f of g)(-1)=f{g(-1)}=f{3(-1)^2-2(-1)-1}=f{3+2-1}=f(4)=2(4)-3=8-3=5\r<BR>\n" );
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document.write( "(f of f)(x)=f{f(x)}=f{2x-3}=2(2x-3)-3=4x-6-3=4x-9\r<BR>\n" );
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document.write( "(f of g)(x)=f{g(x)}=f{3x^2-2x-1}=2(3x^2-2x-1)-3=6x^2-4x-2\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );