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Let f:R−{0}→Rf:\mathbb{R}-\{0\}\to\mathbb{R} be a function such that f(x)−6f(1x)=35−5xf(x)-6f\left(\frac{1}{x}\right)=35-5x. If lim⁡x→0(α+xf(x))=β\lim_{x\to 0}(\alpha+xf(x))=\beta; α,β∈R\alpha,\beta\in\mathbb{R}, then α+2β\alpha+2\beta is equal to:
Sets, Relations and Functions - Medium - Question