document.write( "Question 286540: Hello! Please help me solve this composite function. What is g(f(x))where f(x)= 1/SQURT x-3 and g(x)= 2/x+1? I am able to plug in f(x) into g to get 2/(1/SQURT x-3)+1 but then get stuck with the algebra. How do I simplify this? I turned (1) into root of (x-3)/root of (x-3) to establish a common denominator but am not seeing how to get the answer which my book says is 2/(root of x-3)+1. Thank you in advance for your help :) \n" ); document.write( "
Algebra.Com's Answer #207915 by dabanfield(803)\"\" \"About 
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Hello! Please help me solve this composite function. What is g(f(x))where f(x)= 1/SQURT x-3 and g(x)= 2/x+1? I am able to plug in f(x) into g to get 2/(1/SQURT x-3)+1 but then get stuck with the algebra. How do I simplify this? I turned (1) into root of (x-3)/root of (x-3) to establish a common denominator but am not seeing how to get the answer which my book says is 2/(root of x-3)+1. Thank you in advance for your help :)\r
\n" ); document.write( "\n" ); document.write( "Great start! :)\r
\n" ); document.write( "\n" ); document.write( "Note that sqrt(x-3)/sqrt(x-3) = 1 so:\r
\n" ); document.write( "\n" ); document.write( "2/(1/(sqrt(x-3)) + 1) =\r
\n" ); document.write( "\n" ); document.write( "2/(1/sqrt(x-3) + sqrt(x-3)/sqrt(x-3)) =\r
\n" ); document.write( "\n" ); document.write( "2/((1+sqrt(x-3))/sqrt(x-3)\r
\n" ); document.write( "\n" ); document.write( "Multiply numerator and denominator by sqrt(x-3):\r
\n" ); document.write( "\n" ); document.write( "(2*sqrt(x-3))/(1 + sqrt(x-3))\r
\n" ); document.write( "\n" ); document.write( "This isn't what you said the book had for the solution though. \r
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