document.write( "Question 1048528: for the function f (x)=sqrt2x-1, g(x)=1/x-3 find f/g and give the domain \n" ); document.write( "

Algebra.Com's Answer #664135 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( " $\"f%28x%29=sqrt%282x-1%29\"$
\n" ); document.write( " $\"+g%28x%29=1%2F%28x-3%29\"$ \r
\n" ); document.write( "\n" ); document.write( "find $\"f%2Fg\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%2Fg=sqrt%282x-1%29%2F%281%2F%28x-3%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%2Fg=%28x-3%29sqrt%282x-1%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "and the domain is:\r
\n" ); document.write( "\n" ); document.write( "if $\"%28x-3%29=0\"$ -> $\"highlight%28x=3%29\"$ ; so, $\"highlight%28x%3C3%29\"$ or $\"highlight%28x%3E3%29\"$
\n" ); document.write( "to have a solution for $\"sqrt%282x-1%29\"$ , $\"%282x-1%29\"$ cannot be equal to zero\r
\n" ); document.write( "\n" ); document.write( "if $\"%282x-1%29=0\"$ -> $\"2x=1\"$ -> $\"highlight%28x=1%2F2%29\"$ ;so, $\"highlight%28x%3E1%2F2%29\"$
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\n" ); document.write( "so, exclude $\"x=3\"$ and $\"highlight%28x=1%2F2%29\"$ and domain is
\n" ); document.write( "
\n" ); document.write( "{ $\"x\"$ element $\"R\"$ : $\"1%2F2%3C=x%3C3\"$ or $\"x%3E3\"$ }\r
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%28x-3%29sqrt%282x-1%29%29+\"$ \r
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