document.write( "Question 109845: Let f(x)=4-x^ and g(x)=2-x. Find f/g(x). \n" ); document.write( "

Algebra.Com's Answer #80047 by MathLover1(20850) $\"\"$ $\"About$

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Let f(x)=4-x^ Е.do you have here $\"x%5E2\"$ or $\"x\"$ ?\r
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\n" ); document.write( "\n" ); document.write( "if you have $\"x%5E2\"$ , then we have:\r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29+=+4-x%5E2\"$
\n" ); document.write( " $\"g%28x%29+=+2-x\"$ \r
\n" ); document.write( "\n" ); document.write( "Then: $\"f%2Fg%28x%29+=+%284-x%5E2%29%2F%28+2-x%29\"$ ЕЕЕ.in nominator, $\"4\"$ we can write as $\"2%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%2Fg%28x%29+=+%282%5E2-x%5E2%29%2F%28+2-x%29\"$ ЕЕЕ.now we have the difference of square numbers and we can write it as $\"%282-x%29%282%2Bx%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%2Fg%28x%29+=+%282-x%29%282%2Bx%29%2F%28+2-x%29\"$ ЕЕЕ.cancel $\"2-x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%2Fg%28x%29+=+2+%2B+x\"$ ЕЕЕ.solution\r
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\n" ); document.write( "\n" ); document.write( "But, if you have $\"x\"$ , then we will have:\r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29+=+4-x\"$
\n" ); document.write( " $\"g%28x%29+=+2-x\"$ \r
\n" ); document.write( "\n" ); document.write( "Then: $\"f%2Fg%28x%29+=+%284-x%29%2F%28+2-x%29\"$ ЕЕЕ. this is a graphical form that simplifies to\r
\n" ); document.write( "\n" ); document.write( " $\"f%2Fg%28x%29+=+%28-x+%2B+4%29%2F%28+-x+%2B+2%29\"$ ЕЕЕ.
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