document.write( "Question 359121: Re: Simplifying Rational Expressions and Functions
\n" ); document.write( "I understand how to write a function in simplified form using factoring and removing the factor = to 1. However, can someone walk me through the steps on determining the restrictions on the domain? I can't figure out how the restrictions on the domain are determined.
\n" ); document.write( "Write the function given by
\n" ); document.write( "g(x)= x^2+3x-10 / 2x^2-3x-2
\n" ); document.write( "in simplified form, and list all the restrictions on the domain.\r
\n" ); document.write( "\n" ); document.write( "Answer: g(x)= x+5/2x+1, x cannot = -1/2 and x cannot = 2\r
\n" ); document.write( "\n" ); document.write( "Please teach me how to determine the restrictions. Thank you. Jill
\n" ); document.write( "

Algebra.Com's Answer #256289 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Hi,
\n" ); document.write( "*Note: restrictions on the domain are the values of x that cannot be used.
\n" ); document.write( "(those that would make the denominator zero, cannot be used, for ex)\r
\n" ); document.write( "\n" ); document.write( "\"g%28x%29=+%28%28x%5E2%2B3x-10%29+%2F+%282x%5E2-3x-2%29%29\"
\n" ); document.write( "\"g%28x%29=+%28%28x+-2%29%28x+%2B5%29%29+%2F%28%282x%2B+1%29%28x+-2%29%29%29\"
\n" ); document.write( "This tells us the denominator would be zero if x = (-1/2) or x = 2
\n" ); document.write( "Now Simplifying further:
\n" ); document.write( "\"g%28x%29=+%28%28x+%2B5%29%29+%2F%282x%2B+1%29%29\"
\n" ); document.write( " \n" ); document.write( "
\n" );