document.write( "Question 966110: Need help with a problem. If f(x)=(x-B)/(x-A), f(-3)=0, and f(5) is undefined, what are the values of A and B? \n" ); document.write( "
Algebra.Com's Answer #590495 by ikleyn(52797)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "1) The fact that f(5) is undefined means that A=5. This is the only value when the function \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " So, your function is f(x) = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2) Now use the equation f(-3) = 0. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " It means that \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " In turn, its means that x-B =0 at x= -3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " In other words, -3-B = 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Hence, B = -3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer. A = 5, B = -3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |