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??? - 2013 Q3

3
The function f(x) is defined by f(x) = 1-2 sin x for -1/2π  ≤ x  ≤​ 1/2π.
Fig. 3 shows the curve y= f(x)
Picture
i) Write down the range of the function f(x) (2)

ii) Find the inverse function f-1(x)

iii) Find f'(0). Hence write down the gradient of f-1(x) at the point (1,0) (3)
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