document.write( "Question 967940: Please help me solve this equation:\r
\n" ); document.write( "\n" ); document.write( "Consider f(x) = x2 + 3, x < 0. What is the inverse of this function?
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Algebra.Com's Answer #591603 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Maybe you meant \"f%28x%29=x%5E2%2B3\", for \"x%3C0\" ?
\n" ); document.write( "You want the inverse of f.\r
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\n" ); document.write( "\n" ); document.write( "Let g(x) be the inverse function of f(x).
\n" ); document.write( "\"g%28f%28x%29%29=f%28g%28x%29%29=x\".\r
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\n" ); document.write( "\n" ); document.write( "\"%28g%28x%29%29%5E2%2B3=x\"
\n" ); document.write( "\"%28g%28x%29%29%5E2=x-3\"
\n" ); document.write( "\"g%28x%29=0%2B-+sqrt%28x-3%29\", for \"g%28x%29%3C0\" only. The negative branch of this is required; so this means what the really needed answer is:\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28g%28x%29=-sqrt%28x-3%29%29\" AND \"x%3E=3\" if staying with real number solutions.
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