Finding value of $c$ such that the range of the rational function $f(x) = frac{x^2 + x + c}{x^2 + 2x + c}$...
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Finding the value of $c$
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I am comfortable when I am asked to calculate the range of a rational function, but how do we do the reverse? I came across this problem. If $$f(x)= frac{x^2 + x + c}{x^2 + 2x + c}$$ then find the value of $c$ for which the range of $f(x)$ does not contain $[-1, -frac{1}{3}]$ .
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edited 2 days ago
N. F. Taussig
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