document.write( "Question 764030: The function \r
\n" ); document.write( "\n" ); document.write( "f(x)=(x-1)/((x-4)sqrt(x+2)) \r
\n" ); document.write( "\n" ); document.write( "is negative for x in \r
\n" ); document.write( "\n" ); document.write( "a. (1,4)
\n" ); document.write( "b. (4, infinite)
\n" ); document.write( "c. (-infinite, 4)
\n" ); document.write( "d. (-infinite, 1)\r
\n" ); document.write( "\n" ); document.write( "Please tell me how to find the correct answer,
\n" ); document.write( "Thanks!
\n" ); document.write( "

Algebra.Com's Answer #465150 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
The function
\n" ); document.write( "f(x)=(x-1)/((x-4)sqrt(x+2))
\n" ); document.write( "is negative for x in
\n" ); document.write( "a. (1,4)
\n" ); document.write( "b. (4, infinite)
\n" ); document.write( "c. (-infinite, 4)
\n" ); document.write( "d. (-infinite, 1)
\n" ); document.write( "----
\n" ); document.write( "x cannot be 1, 4, < -2
\n" ); document.write( "------
\n" ); document.write( "Draw a number line and plot -2,1,and 4.
\n" ); document.write( "---
\n" ); document.write( "Find the intervals on the line where f(x) is negative.
\n" ); document.write( "Test x = 0 ; you get -/(-*+) = + so no solutions in the interval (-2,1)
\n" ); document.write( "Test x = 2 ; you get +/(-*+) = - for interval (1,4)
\n" ); document.write( "Test x = 10 ; you get +/(+*+) = + so no solutions in (4,+oo)
\n" ); document.write( "==============
\n" ); document.write( "Ans: b
\n" ); document.write( "===============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "===============
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );