Question 205277
x/(x+9)>0
First we have to find the inflection points in this expression.
There is a vertical asymptote at x=-9 because division by zero is not allowed.
There is a horizontal asymptote at y=1 because x is 1st degree on the top and bottom.
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Testing around the vertical asymptote and zero:
When is less than -9, y is always positive because the numerator and denominator are always both negative.
When x is more than -9 and less than zero then the expression is negative.
When x is greater than zero the expression is always positive.
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X(-infinity, -9)U(0,infinity) The solution set.
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Ed
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{{{graph(500,500,-30,10,-10,10,x/(x+9))}}}