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)\"\" \"About 
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  \"%28x-B%29%2F%28x-A%29\"  is undefined. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "      So,  your function is  f(x) = \"%28x-B%29%2F%28x-5%29\".\r
\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  \"%28x-B%29%2F%28x-5%29\" = 0  at  x= -3.\r
\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( "
\n" );