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Mathematics - Differentiable Functions

Let f be a function such that f(x)<1 and f '(x)<0 for all x

a) Suppose that f(b)=0 and a<B

b) determine whether g(x)= 1/ [f(x)-1] is increasing or decreasing. Justify your answer.

c) Let h be a differentiable function such that h'(x)< 0 for all x. Determine whether F(x)= h ( f(x) ) is increasing or decreasing. Justiify

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