The value of x for which (6x^2 -11x - 10)/(6x^2 + 19x -7) positive are ?

Question

experimentx · Answer

range domain problem!!

experimentx · Answer

manipulate things around those ... you should be able to get answer.

anonymous · Answer

x hsould be positive

experimentx · Answer

yeah .. i know ... just find the domain and range where range is positive.

experimentx · Answer

let me see if i can find any better method.

amistre64 · Answer

factor the top and bottom ....   maybe

anonymous · Answer

http://www.mathway.com/math_image.aspx?p=SMB02FSMB03(3x+2)(2x-5)SMB10(2x+7)(3x-1)SMB02fSMB03?p=120?p=42

anonymous · Answer

go to that

experimentx · Answer

http://www.wolframalpha.com/input/?i=plot+%286x^2+-11x+-+10%29%2F%286x^2+%2B+19x+-7%29

anonymous · Answer

Yup   (2x - 5 ) (3x + 2) >0

amistre64 · Answer

i wonder .....

                               1
                         -------------------
6x^2 + 19x -7  |  6x^2 -11x - 10
                           -6x^2 -19x +7
                          ----------------
                                      -30x -3

1 - 3(10x+1)/(6x^2 + 19x -7)

nah ....id go with factors first :)

anonymous · Answer

and  (2x + 7) (3x - 1) >0

anonymous · Answer

attachment

experimentx · Answer

all right ... find the zeros. check the interval between zeros.

experimentx · Answer

(-inf, a) <--- check values in these intervals
(a,b)
(b, inf)

experimentx · Answer

in these interval ... the value is always positive or negative.

experimentx · Answer

Oops ... sorry, you need also to look for asymptotes.

anonymous · Answer

i got it lol................)))

experimentx · Answer

okay ... here a list of things you need to do.
1# find all zeros
2# find all (vertical asymptotes)
3# create intervals ... from -inf to +inf (serially)

check for positive or negative values in these intervals ...