??? - 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)
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)
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)
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)