P. 4 of 9 2. If f(x)=- and g(x)=4-x , determine when does the function y=f(g(x)) be undefined . (2 marks) Part B: Inquiry (20 marks) 1. An office chair manufacturer models its weekly production since 2001 by the function N(t)=100+25t , where t is the time, in years, since 2001, and N(t) is the number of chairs. The size of the manufacturer's workforce can be modeled by the function W(N)=3VN . (a) Write the size of the workforce as a function of time. (2 marks) (b) What is the initial workforce of the manufacturer? (2 marks)P. 5 of 9 (c) State the domain and range of the function in part a) that is relevant to this problem. (4 marks) (d) Sketch the graph of the function W (t) . 2. Given the functions f(x)=cosx and g(x)=2* , determine the value of (a) (i) g(f ( ) ) (5 marks) (ii) g(f(0))P. 6 of 9 (b) the value of x where OSXS2x (i) g(f ( x) ) =1 (ii) g(f ( x) )=0 (7 marks) Part C: Communication (16 marks) L. Complete the following using the words. (2 marks each) (a) The zeros of f(x) become the of the combined function y= _f( x) g (x) (b) The zeros of g(x) become the of the combined function y=I (x) g ( x ) (c) If f(x) is an even function and g(x) is an odd function, then the combined function y=f(x)g(x) is a(n) function. (d) If the numbers of distinct zeros of functions f(x) and g(x) arem and n respectively, then the maximum number of zeros of the function y=f(x)g(x) is