document.write( "Question 1161387: Consider:
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document.write( "f(x)=(x^2-3x-4)/(x^2-16)\r
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document.write( "Give the domain of f(x).\r
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document.write( "Test all the conditions of continuity to determine whether the given function is continuous of discontinuous at point x=4.
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Algebra.Com's Answer #784943 by ikleyn(52803)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Considering responses by tutor @solver91311 and tutor @MathLover1, NO ONE of them is correct.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The given function IS NOT defined at x= 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The number \"4\" is not a part of the domain to this function.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, the function f(x) IS NOT CONTINUOUS at this point.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is a standard exam question to check if the student knows the definition of the continuity of the function at the given point.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, be aware !\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |