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HomeXAT PYQsXAT 2021 Question PaperLet $$f(x) = \frac{x^2 + 1}{x^2 - 1}$$ if $$x \neq 1, -…
XAT 2021Quantitative AbilityQuadratic EquationsMEDIUM+1 / −0.25

Let f(x)=x2+1x2−1f(x) = \frac{x^2 + 1}{x^2 - 1}f(x)=x2−1x2+1​ if x≠1,−1,x \neq 1, -1,x=1,−1, and 1 if x = 1, -1. Let g(x)=x+1x−1g(x) = \frac{x + 1}{x - 1}g(x)=x−1x+1​ if x≠1,x \neq 1,x=1, and 3 if x = 1.
What is the minimum possible values of f(x)g(x)\frac{f(x)}{g(x)}g(x)f(x)​ ?

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