document.write( "Question 470708: Find the domain of the function.\r
\n" ); document.write( "\n" ); document.write( " $\"+f%28x%29+=+8+-+sqrt%28x%5E2+%2B+1%29+\"$ \n" ); document.write( "

Algebra.Com's Answer #322896 by lwsshak3(11628) $\"\"$ $\"About$

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Find the domain of the function.
\n" ); document.write( "f(x) = 8 - sqrt(x^2 + 1)
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\n" ); document.write( "Two things to look for: denominators and radicans. Since no denominators, we only need to look at the radican.
\n" ); document.write( "The radican (expression inside the radical) must always≥0.
\n" ); document.write( "However, in this case, the radican can never be zero because x^2 will always come out positive.
\n" ); document.write( "So the domain will be all real numbers or (-∞,∞) \n" ); document.write( "

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