Let $g(x)=3 f\left(\frac{x}{3}\right)+f(3-x) \forall x \in(0,3)$ and $f^{\prime\prime}(x)0 \forall x \in(0,3)$ then $g(x)$ decreases in interval $(0, \alpha)$, then $\alpha$ is (22 Jan, Shift I, Memory Based)

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Let $g(x)=3 f\left(\frac{x}{3}\right)+f(3-x) \forall x \in(0,3)$ and $f^{\prime\prime}(x)>0 \forall x \in(0,3)$ then $g(x)$ decreases in interval $(0, \alpha)$, then $\alpha$ is (22 Jan, Shift I, Memory Based)

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Let \(g(x)=3 f\left(\frac{x}{3}\right)+f(3-x) \forall x \in(0,3)\) and \(f^{\prime\prime}(x)>0 \forall x \in(0,3)\) t…

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Let \(g(x)=3 f\left(\frac{x}{3}\right)+f(3-x) \forall x \in(0,3)\) and \(f^{\prime\prime}(x)&gt;0 \forall x \in(0,3)\) t…

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Let \(g(x)=3 f\left(\frac{x}{3}\right)+f(3-x) \forall x \in(0,3)\) and \(f^{\prime\prime}(x)>0 \forall x \in(0,3)\) t…