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OpenStudy (anonymous):
Impossible math problem someone help its attached below
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OpenStudy (anonymous):
OpenStudy (anonymous):
\[f\circ g(x)=f(g(x))\] which in this case is \[f(-\frac{2}{x})\]
OpenStudy (anonymous):
since \[f(\spadesuit)=\frac{\spadesuit}{\spadesuit-5}\] you have \[f(-\frac{2}{x})=\frac{-\frac{2}{x}}{-\frac{2}{x}-5}\]
OpenStudy (anonymous):
get rid of annoying complex fraction by multiplying top and bottom by \(x\) go get \[\frac{-2}{-2-5x}\]
OpenStudy (anonymous):
or if you prefer, more simply \[\frac{2}{2+5x}\]
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OpenStudy (anonymous):
2/5x+2
OpenStudy (anonymous):
sorry wasnt supposed to solve that
OpenStudy (anonymous):
as for the domain, the domain of \(g\) is all numbers except 0 and the domain of \(f\circ g\) is therefore all numbers except 0 and \(-\frac{2}{5}\)
OpenStudy (anonymous):
how would I state that in interval notation though?
OpenStudy (anonymous):
i gave up
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