document.write( "Question 65138: Given f(x)=(1/x) and g(x)=(x+1)/(x-2), find (f/g)(x) and state its domain. \n" ); document.write( "

Algebra.Com's Answer #45622 by funmath(2933) $\"\"$ $\"About$

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Given f(x)=(1/x) and g(x)=(x+1)/(x-2), find (f/g)(x) and state its domain.
\n" ); document.write( "(f/g)(x) means the function of f divided by the function of g.
\n" ); document.write( " $\"%28f%2Fg%29%28x%29=%281%2Fx%29%2F%28%28x%2B1%29%2F%28x-2%29%29\"$ Notice that x cannot =2 or g will be undefined.
\n" ); document.write( " $\"%28f%2Fg%29%28x%29=%28x%28x-2%29%281%2Fx%29%29%2F%28x%28x-2%29%28x%2B1%29%2F%28x-2%29%29\"$
\n" ); document.write( " $\"%28f%2Fg%29%28x%29=%28x-2%29%2F%28x%28x%2B1%29%29\"$ Notice that now x cannot=0 or -1 or the fraction will be undefined because the denominator will be 0.
\n" ); document.write( "Therefore, the domain is {x|x cannot=-1,0,2}
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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