iran-konkur 2019 Q119

iran-konkur · Other · konkur-riazi_1398_specialized_new-curriculum Stationary points and optimisation Find absolute extrema on a closed interval or domain
119. The absolute minimum point of the function $f(x) = \dfrac{x^2 + 2x}{(x-1)^2}$ is at what distance from its vertical asymptote?
(1) $1$ (2) $\dfrac{4}{3}$ (3) $\dfrac{3}{2}$ (4) $2$
\textbf{119.} The absolute minimum point of the function $f(x) = \dfrac{x^2 + 2x}{(x-1)^2}$ is at what distance from its vertical asymptote?

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(1) $1$ \hspace{2cm} (2) $\dfrac{4}{3}$ \hspace{2cm} (3) $\dfrac{3}{2}$ \hspace{2cm} (4) $2$
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