document.write( "Question 1152172: Find the domain and range of the function: $\"+G%28t%29=1%2F%28t%5E2-16%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "For the domain, I set the denominator equal to 0 and added 16 to both sides. Then, I took the square root of both sides. This left me with t=4, therefore the domain would be all real numbers except 4. However, this was incorrect... how did I miss the -4 in the domain restriction?\r
\n" ); document.write( "\n" ); document.write( "Also, how could I find the range?\r
\n" ); document.write( "\n" ); document.write( "Thanks so much! \n" ); document.write( "

Algebra.Com's Answer #774124 by MathTherapy(10552) $\"\"$ $\"About$

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Find the domain and range of the function: $\"+G%28t%29=1%2F%28t%5E2-16%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "For the domain, I set the denominator equal to 0 and added 16 to both sides. Then, I took the square root of both sides. This left me with t=4, therefore the domain would be all real numbers except 4. However, this was incorrect... how did I miss the -4 in the domain restriction?\r
\n" ); document.write( "\n" ); document.write( "Also, how could I find the range?\r
\n" ); document.write( "\n" ); document.write( "Thanks so much!
\n" ); document.write( "

You missed it because when you added 16 to both sides to get: , you should've then taken the SQUARE ROOT of both sides to get: 
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document.write( "Many individuals forget that when the square root is taken of both sides of an equation, the side WITHOUT the square SHOULD include the ± sign. \n" );
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