document.write( "Question 1060082: What is the domain of f in interval notation if f(x) = ( x – 5 )^1/2?
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Algebra.Com's Answer #675102 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! ( x – 5 )^1/2 is the same as sqrt(x-5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sqrt is shorthand for \"square root\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "With square roots, we cannot have the stuff inside be negative\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x-5 cannot be negative. So force it to be either 0 or a positive value. I.e,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "isolate x and we get\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Which is the domain. It's the set of allowed x values we can plug in. We can plug in 5 for x or any number that is larger than 5. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The domain in set builder notation would look like this \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In interval notation, the domain is written like this |