document.write( "Question 114691: Find the domain of the given function.
\n" );
document.write( "h(x)= 1/x+1\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "____ (Use interval notation.) \n" );
document.write( "
Algebra.Com's Answer #83462 by chitra(359)![]() ![]() You can put this solution on YOUR website! To find the domain of the given function, we generally equate the denominator to zero. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Here the given function is h(x) = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Equating the denominator to zero, we get: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 1 = 0 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> x = -1 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So hence the domain consists of the set of all the real number except zero. So this in the interval notation can be written as: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "D = {x / x E R (- 1) }\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Or it can be written as: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "{x: x is not equal to -1} \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "OR (- infinity, infinity) - {-1} \r \n" ); document.write( "\n" ); document.write( "thus the solution \n" ); document.write( " |