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Mathematics 22 Online
OpenStudy (anonymous):

thanks!

OpenStudy (anonymous):

@ganeshie8

ganeshie8 (ganeshie8):

\[\left(\frac{g}{f}\right)(-2)\] like this ?

OpenStudy (anonymous):

yes

ganeshie8 (ganeshie8):

\[\left(\frac{g}{f}\right)(-2) = \dfrac{g(-2)}{f(-2)}\]

ganeshie8 (ganeshie8):

find the values of g(-2) and f(-2) then plug them above and simplify

ganeshie8 (ganeshie8):

\(g(x) = x^2+2\) \(g(-2) = ?\)

OpenStudy (anonymous):

-2^2+2

OpenStudy (anonymous):

=-2

ganeshie8 (ganeshie8):

do you mean : g(-2) = (-2)^2 + 2 ?

ganeshie8 (ganeshie8):

that simplifies to 4 + 2 which equals 6

OpenStudy (anonymous):

yes and yes

ganeshie8 (ganeshie8):

good, so you have g(-2) = 6 save it

ganeshie8 (ganeshie8):

go ahead and find f(-2) similarly

ganeshie8 (ganeshie8):

\(f(x) = x-2\) \(f(-2) = ?\)

OpenStudy (anonymous):

(-2)-2?

ganeshie8 (ganeshie8):

Yes, simplify

OpenStudy (anonymous):

-4

ganeshie8 (ganeshie8):

plug them in \[\left(\frac{g}{f}\right)(-2) = \dfrac{g(-2)}{f(-2)} = ?\]

OpenStudy (anonymous):

(6/-4)

ganeshie8 (ganeshie8):

yes, simplify\[\left(\frac{g}{f}\right)(-2) = \dfrac{g(-2)}{f(-2)} = \dfrac{6}{-4} = ?\]

ganeshie8 (ganeshie8):

looks you can cancel 2 in both numerator and denominator

OpenStudy (anonymous):

-3/4

OpenStudy (anonymous):

-3/2

ganeshie8 (ganeshie8):

Correct ! good job !

OpenStudy (anonymous):

thanks to you

ganeshie8 (ganeshie8):

\[\left(\frac{g}{f}\right)(-2) = \dfrac{g(-2)}{f(-2)} = \dfrac{6}{-4} = -\dfrac{3}{2}\]

ganeshie8 (ganeshie8):

yw

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