document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106851>Question 1106851</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find f(x) and g(x) so that the function can be described as y = f(g(x)). \r<BR>\n" );
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document.write( "y = three divided by square root of quantity three x plus four.\r<BR>\n" );
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document.write( "y= 3/sqrt(3x+4) </SPAN>\n" );
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document.write( "Think of how you would evaluate the expression for a particular value of x:<BR>\n" );
document.write( "(1) multiply by 3<BR>\n" );
document.write( "(2) add 4<BR>\n" );
document.write( "(3) take the square root<BR>\n" );
document.write( "(4) divide 3 by the result<br><BR>\n" );
document.write( "To write the whole expression as a composition of two functions, you can break the steps into two parts any way you want.<br><BR>\n" );
document.write( "solution #1:<BR>\n" );
document.write( "g(x) = multiply by 3 and add 4;<BR>\n" );
document.write( "f(x) = take the square root and divide 3 by the result<BR>\n" );
document.write( "answer #1: g(x) = 3x+4; f(x) = 3/sqrt(x)<br><BR>\n" );
document.write( "solution #2:<BR>\n" );
document.write( "g(x) = multiply by 3, add 4, and take the square root<BR>\n" );
document.write( "f(x) = divided 3 by the result<BR>\n" );
document.write( "answer #2: g(x) = sqrt(3x+4); f(x) = 3/x<br><BR>\n" );
document.write( "solution #3:<BR>\n" );
document.write( "g(x) = multiply by 3<BR>\n" );
document.write( "f(x) = add 4, take the square root, and divide 3 by the result<BR>\n" );
document.write( "answer #3: g(x) = 3x; f(x) = 3/sqrt(x+4)<br><BR>\n" );
document.write( "Solution #4: You could even do something like this, combining all the steps into one of the functions -- although I don't see that it would ever be useful:<BR>\n" );
document.write( "g(x) = 3/sqrt(3x+4); f(x) = x </SPAN>\n" );
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