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Mathematics 11 Online
OpenStudy (anonymous):

URGENT HELP! WILL FAN + MEDAL

OpenStudy (kash_thesmartguy):

What is the question?

OpenStudy (anonymous):

OpenStudy (kash_thesmartguy):

I think it's C because of the multiplication of the signs and numbers

OpenStudy (anonymous):

@Kash_TheSmartGuy what about #2? (:

OpenStudy (emmatassone):

I'll give you a clue:\[\frac{ a.b }{ b.c }=\frac{ a }{ c }.\frac{ b }{ b }=\frac{ a }{ c }.1=\frac{ a }{ c }\]

OpenStudy (anonymous):

@EmmaTassone so A?

OpenStudy (emmatassone):

nope

OpenStudy (emmatassone):

who is b in that equation?

OpenStudy (anonymous):

-3?

OpenStudy (emmatassone):

(x-3)

OpenStudy (emmatassone):

you can cancel that term from the division, because its repeated in the numerator and denominator

OpenStudy (anonymous):

so then that leaves (x-2)/(x-3) so it'll be C?

OpenStudy (emmatassone):

right

OpenStudy (emmatassone):

but Formally none of those option are correct

OpenStudy (emmatassone):

even thought D is "equal" to (x-3)(x-2)/(x+3)(x-3), its not properly equal because D represents a function which has no problem when x=3, when the given funtion its no defined when x=3. so X=3 belongs to the Domain of funtion of letter D but its not belong to the domain of the given funtion.

OpenStudy (emmatassone):

So the answer would be letter D but its not exactly equal.

OpenStudy (anonymous):

can you help me with #2?

OpenStudy (emmatassone):

I was trying to help you to see that:\[\frac{ (x-3).(x-2) }{ (x+3)(x-3) }=\frac{ (x-3) }{ (x-3) }.\frac{ (x-2) }{ (x+3) }=1.\frac{ (x-2) }{ (x+3) }=\frac{ x-2 }{ x+3 }\]

OpenStudy (emmatassone):

in #2 you have to look for the roots of the cuadratic function and see when the function becomes zero.

OpenStudy (emmatassone):

when you want to see the domain restriction of a function you have to see for which values the function its not defined

OpenStudy (emmatassone):

for example: in the funtion (x-2)/(x+3) when x=-3 we have:\[\frac{ -3-2 }{ -3+3 }=\frac{ -5 }{ 0 }\] since you cant divide by zero the point x=-3 dont belongs to the domain of the function (x-2)/(x+3)

OpenStudy (anonymous):

so how would we find out the answer if the question is confusing? (:

OpenStudy (emmatassone):

the question is not confusing for #2

OpenStudy (anonymous):

would the q^2 cancel out?

OpenStudy (emmatassone):

neither is for #1, i was just saying that the one who gave you that question could have made a mistake thinking that the given funtion is equal to D, when it isnt exaclty equal.

OpenStudy (emmatassone):

no, do you know how to factorize a cuadratic funtion?

OpenStudy (anonymous):

not really lol

OpenStudy (emmatassone):

then you should test for which values the quadratic funtion in the denominator its no defined, i mean for which values the funtion become zero.

OpenStudy (emmatassone):

For example if you replace q=1 in the given expression the denominator dont become zero, so letter a) cant be in the domain restriction

OpenStudy (emmatassone):

prove with the others

OpenStudy (anonymous):

so C?

OpenStudy (emmatassone):

yeah

OpenStudy (anonymous):

so #1 is D and #2 is C

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