If a + α = 1 , b + β = 2 and a f x + α f 1 x = b x + β x , x ≠ 0 , then the value of the expression f x + f 1 x x + 1 x is ___________.

Question

If a + α = 1 , b + β = 2 and a f x + α f 1 x = b x + β x , x ≠ 0 , then the value of the expression f x + f 1 x x + 1 x is ___________.,

MARKS App · Accepted Answer

a f x + α f 1 x = b x + β x … 1 replace x by 1 x a f 1 x + α f x = b x + β x … 2 1 + 2 a + α f x + a + α f 1 x = x b + β + b + β 1 x f x + f 1 x x + 1 x = b + β a + α = 2 1 = 2

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