document.write( "Question 638400: I am trying to find out what f/g is for f(x)= x^2-2x-24 and g(x)=x^2-x-30. I know that you must divide them and I successfully completed the other parts to this problem which was finding f+g, f-g, and f*g. I just can't remember how to divide equations with variables in them. This is the problem that needs to be solved. x^2-2x-24/x^2-x-30. Also I need to specify the domain. Thank you \n" ); document.write( "
Algebra.Com's Answer #402199 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! f/g is for f(x)= x^2-2x-24 and g(x)=x^2-x-30 \n" ); document.write( ". \n" ); document.write( "f/g: \n" ); document.write( "[x^2-2x-24]/[x^2-x-30] \n" ); document.write( "factor both: \n" ); document.write( "[(x-6)(x+4)]/[(x-6)(x+5)] Note: this is where you can determine domain \n" ); document.write( "canceling: \n" ); document.write( "(x+4)/(x+5) (this is f/g) \n" ); document.write( ". \n" ); document.write( "Domain specifies what values x can take (we just have to avoid when the denominator becomes zero). \n" ); document.write( "The denominator becomes zero when x=6 OR x=-5 \n" ); document.write( "domain is therefore: \n" ); document.write( "(-oo, -5) U (-5,6) U (6,+oo) \n" ); document.write( "where oo stands for infinity \n" ); document.write( " \n" ); document.write( " |