document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=966525>Question 966525</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the given functions f and g;  f(x)=square root of x; g(x)=4x-3 find the following;<BR>\n" );
document.write( "(f*g)(x) and (f/g)(x).<BR>\n" );
document.write( "List the domain of each result.<BR>\n" );
document.write( " Please help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #590710 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=590710\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Domain is the set of x values permitted for the function.\r<BR>\n" );
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document.write( "What x values are allowed for  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29%2A%284x-3%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29%2A%284x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
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document.write( "What x values are allowed for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29%2F%284x-3%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29%2F%284x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
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document.write( "In both cases, obviously x must be nonzero; but what about anything else as restrictions?\r<BR>\n" );
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document.write( "\"Find the following:\"  means to form the expressions according to substituting the given functions of f and g.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Ag%29%28x%29=sqrt%28x%29%284x-3%29 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%28x%29=sqrt%28x%29%284x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >;\r<BR>\n" );
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document.write( "Domain means the set of numbers which the independent variable of a function can be.  Square root must take nonzero input value for Real numbers.  This means, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  must use any <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=0 ALIGN=MIDDLE  ALT=\"x%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   x is the independent or input variable for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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