document.write( "Question 1049492: In equation is Find a formula for F^-1(x). Give domain of f^-1 , including restrictions from f. 17.F(x)= sqrt(x-3) 21. f(x)= 3sqrt(x+5)? \n" ); document.write( "
Algebra.Com's Answer #665143 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29=+sqrt%28x-3%29+\"\r
\n" ); document.write( "\n" ); document.write( "since \"f%28x%29=+y\" we have\r
\n" ); document.write( "\n" ); document.write( "\"y=+sqrt%28x-3%29+\".........swap \"x+\"and \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"x=+sqrt%28y-3%29\".........solve for\"+y\", first square both sides\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2=+%28sqrt%28y-3%29%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2=+y-3\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B3=+y\"\r
\n" ); document.write( "\n" ); document.write( "so, \"f%5E-1%28x%29=x%5E2%2B3\"\r
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\n" ); document.write( "\n" ); document.write( "domain: \"R\" (all real numbers)\r
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\n" ); document.write( "\n" ); document.write( " \"f%28x%29=+3sqrt%28x%2B5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"y=+3sqrt%28x%2B5%29\"........swap \"x+\"and \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"x=+3sqrt%28y%2B5%29\"......solve for\"+y\", first square both sides\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2=+%283sqrt%28y%2B5%29%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2=+9%28y%2B5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2F9=+y%2B5\"\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F9%29x%5E2-5=+y\"\r
\n" ); document.write( "\n" ); document.write( " \"f%5E-1%28x%29=%281%2F9%29x%5E2-5\"\r
\n" ); document.write( "\n" ); document.write( "domain: \"R\" (all real numbers)\r
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