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Mathematics 13 Online
OpenStudy (anonymous):

find the domain:

OpenStudy (unklerhaukus):

the domain is all the possible inputs for the function

OpenStudy (anonymous):

sorry, i was answering something... i'll post the equation

OpenStudy (anonymous):

\[6-\sqrt{-x ^{2}+5x-6}\]

OpenStudy (unklerhaukus):

well for real numbers, the inside of a square root function bust be positive

OpenStudy (unklerhaukus):

must*

OpenStudy (unklerhaukus):

so you can say \[−x^2+5x−6>0\]

OpenStudy (anonymous):

okay, i put random values for x?

OpenStudy (unklerhaukus):

what values of x satisfy the inequality ?

OpenStudy (anonymous):

2 and 3?

OpenStudy (anonymous):

@UnkleRhaukus ?

OpenStudy (unklerhaukus):

2 and 3 satisfy the equality, but not the inequality

OpenStudy (anonymous):

wait, (-2)^2+10-6 > 0 and so is (-3)^2+15-6 > 0 both result in numbers greater than zero

OpenStudy (unklerhaukus):

the negative in not in the square

OpenStudy (anonymous):

oh okay..sorry

OpenStudy (anonymous):

none, they are all resulting in negative numbers

OpenStudy (unklerhaukus):

factorize this\[−x^2+5x−6>0\] \[(..+x)(..-x)>0\]

OpenStudy (anonymous):

|dw:1341242922775:dw| its 2 and 3.. i don't get it

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