f(x) = [(cosx, 0, sinx), (0, 1, 0), (-sinx, 0 cosx)], g(y) = [(cosy, - siny, 0), (siny, cosy, 0), (0, 0, 0)]

(i) f(x) . g(y) = ...
(a) f(xy)
(b) f( x/y
(c) f(x + y)
(d) f(x - y)
(ii) Which of the following is correct?
(a) [f(x)]-1 = 1/f(x)
(b) [f(x)]-1 = -f(x)
(c) [f(c)]-1 = f(-x)
(d) [f(x)]-1 = -f(-x)
(iii) [f(x) g(y)]-1 = ...
(a) f(x-1) g(y-1)
(b) f(y-1) g(x-1)
(c) f(-x) g(-y)
(d) g(-y) f(-x)