If we know range of a function , how can construct range of other function? – math.stackexchange.com

If we know $\frac{-1}{2}\leq \frac{x}{x^2+1}\leq \frac{1}{2}$ how can obtain the range of the function below? $$y=\frac{4 x}{9x^2+25}$$ The problem is what's the range with respect to ...

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