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If g(x) is monotonically increasing and ...

If g(x) is monotonically increasing and f(x) is monotonically decreasing for x R and if (gof) (x) is defined for x e R, then prove that (gof)(x) will be monotonically decreasing function. Hence prove that` (gof) (x +1)leq (gof) (x-1). `

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