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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 in R` and if `(gof) (x)` is defined for `x in 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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