document.write( "Question 119983: Evaluate and give the domain.\r
\n" ); document.write( "\n" ); document.write( "f(x)= 16-x^2 g(x)= 4-x\r
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Algebra.Com's Answer #87918 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"f%28x%29%2Fg%28x%29\" Start with the given composition\r
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\n" ); document.write( "\n" ); document.write( "\"%2816-x%5E2%29%2F%284-x%29\" Plug in \"f%28x%29=16-x%5E2\" and \"g%28x%29=+4-x\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28%284%2Bx%29%284-x%29%29%2F%284-x%29\" Factor \"16-x%5E2\" to get \"%284%2Bx%29%284-x%29\" \r
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\n" ); document.write( "\n" ); document.write( "\"%284%2Bx%29%284-x%29%2F%284-x%29\" Combine the fractions\r
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\n" ); document.write( "\n" ); document.write( "\"%284%2Bx%29cross%28%284-x%29%29%2Fcross%28%284-x%29%29\" Cancel like terms\r
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\n" ); document.write( "\n" ); document.write( "\"4%2Bx\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So \"%2816-x%5E2%29%2F%284-x%29\" simplifies to \"4%2Bx\" . In other words \"%2816-x%5E2%29%2F%284-x%29=4%2Bx\"\r
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\n" ); document.write( "\n" ); document.write( "So the domain of \"4%2Bx\" is x can be any number except x cannot be equal to 4 since that makes the denominator zero for \"%2816-x%5E2%29%2F%284-x%29\"
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