y=-5x/x^2+9

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Solution for y=-5x/x^2+9 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

y = (-5*x)/(x^2)+9 // - (-5*x)/(x^2)+9

y-((-5*x)/(x^2))-9 = 0

5*x^-1+y-9 = 0

5*x^-1 = -(y-9) // : 5

x^-1 = (9-y)/5

-1 < 0

1/(x^1) = (9-y)/5 // * x^1

1 = x^1*((9-y)/5) // : (9-y)/5

5*(9-y)^-1 = x^1

x = 5*(9-y)^-1

x = 5*(9-y)^-1

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