document.write( "Question 1088794: what is the domain of the composite function f* g if f(x) = 28/x and g(x) = -8/(x - 7). \n" ); document.write( "

Algebra.Com's Answer #703112 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"f%2A+g\"$ if $\"f%28x%29+=+28%2Fx\"$ and $\"g%28x%29+=+-8%2F%28x+-+7%29\"$ :\r
\n" ); document.write( "\n" ); document.write( " $\"f%2A+g=%2828%2Fx%29%28-8%2F%28x+-+7%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%2A+g=%28-8%2A28%29%2F%28x%28x+-+7%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "domain: will be all real numbers except values of $\"x\"$ that make denominator equal to zero
\n" ); document.write( "and they are: \r
\n" ); document.write( "\n" ); document.write( " $\"x%28x+-+7%29=0\"$ \r
\n" ); document.write( "\n" ); document.write( "=> $\"x=0\"$ or
\n" ); document.write( "=> $\"x=7\"$ \r
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\n" ); document.write( "\n" ); document.write( "so, domain is:{ $\"x\"$ element $\"R\"$ : $\"x%3C%3E0\"$ and $\"x%3C%3E7\"$ }\r
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