document.write( "Question 1034440: Find the domain of the following:
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document.write( "a)f(x) =| 1 − x^2 | + 1
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document.write( "b) f(x) = √9 − x^2
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document.write( "c) f(x) = 2^(4−x^2)\r
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document.write( "For a is the domain the set of all real numbers because it is absolute? For b I will get √(x+3) (x-3) but then I am not sure what to do given the sqrt. And for c...I have no idea lol it would be 2^ (x+2) (x-2)? but then I'm not sure.
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document.write( "Thank you for your help :) \n" );
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Algebra.Com's Answer #649075 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Find the domain of the following: \n" ); document.write( "a)f(x) =| 1 - x^2 | + 1 \n" ); document.write( "b) f(x) = sqrt(9 - x^2) \n" ); document.write( "c) f(x) = 2^(4-x^2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thank you for your help :) \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "a) f(x) =| 1 - x^2 | + 1 The domain is the set of all real numbers. The entire number line. From -inf to +inf.\r\n" ); document.write( "\r\n" ); document.write( "b) f(x) = sqrt(9 - x^2) The domain is the set of real numbers |x| <= 3: -3 <= x < =3. The expression under sqrt must be >= 0.\r\n" ); document.write( "\r\n" ); document.write( "c) f(x) = 2^(4-x^2) The domain is the set of all real numbers. The entire number line. From -inf to +inf.\r\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |