Question 764030
The function 
f(x)=(x-1)/((x-4)sqrt(x+2)) 
is negative for x in 
a. (1,4)
b. (4, infinite)
c. (-infinite, 4)
d. (-infinite, 1)
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x cannot be 1, 4, < -2
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Draw a number line and plot -2,1,and 4.
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Find the intervals on the line where f(x) is negative.
Test x = 0 ; you get -/(-*+) = + so no solutions in the interval (-2,1)
Test x = 2 ; you get +/(-*+) = - for interval (1,4)
Test x = 10 ; you get +/(+*+) = + so no solutions in (4,+oo)
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Ans: b
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Cheers,
Stan H.
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