document.write( "Question 114938: f(x)= 9-x^2/x^2-4x-4 find x and y intercepts \n" ); document.write( "
Algebra.Com's Answer #83620 by jim_thompson5910(35256)\"\" \"About 
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x intercepts:\r
\n" ); document.write( "\n" ); document.write( "Set f(x) equal to zero and solve for x\r
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\n" ); document.write( "\n" ); document.write( "\"0=+%289-x%5E2%29%2F%28x%5E2-4x-4%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"9-x%5E2=0\" This means the numerator is equal to zero. The denominator is never zero\r
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\n" ); document.write( "\n" ); document.write( "\"9=x%5E2\" Add x^2 to both sides\r
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\n" ); document.write( "\n" ); document.write( "When taking the square root, we get the answers \"x=-3\" or \"x=3\"\r
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\n" ); document.write( "\n" ); document.write( "y-intercepts:\r
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\n" ); document.write( "\n" ); document.write( "Simply plug in x=0 and solve for y\r
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\n" ); document.write( "\n" ); document.write( "\"f%280%29=+%289-0%5E2%29%2F%280%5E2-4%280%29-4%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"f%280%29=+-9%2F4\" Simplify\r
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\n" ); document.write( "\n" ); document.write( "So the y-intercept is \"+-9%2F4\"
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