Mathematics
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OpenStudy (anonymous):
thanks!
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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
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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
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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?
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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\[\left(\frac{g}{f}\right)(-2) = \dfrac{g(-2)}{f(-2)} = \dfrac{6}{-4} = ?\]
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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
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ganeshie8 (ganeshie8):
\[\left(\frac{g}{f}\right)(-2) = \dfrac{g(-2)}{f(-2)} = \dfrac{6}{-4} = -\dfrac{3}{2}\]
ganeshie8 (ganeshie8):
yw