NO MARKS ARE GIVEN IF YOUR SOLUTION INCLUDES: e, In, differentiation or integration

Unit 5: Characteristics of Functions - Application Task (Advanced Functions grade 12)

Show diagram, Define variables, State formula, theorem, equation or function used, Show substitutions and or steps in solving an equation, State restrictions, State concluding statement

2. a) Determine (f - g) (x) in simplified form and state its domain, given f (x) = x 5 x + 4 and g(x) = logx - 2. [2A] b) Determine (f x g) (x) in simplified form and state its domain, given f(x) = 2\\x + 9 and g (x) = - x + 2 3 x + 6 [2A] c) Identify two functions, f(x) and g(x), in which (f . g)(x) will have the domain {x ER | x 2 2, x # 11}. State (f . g) (x) in simplified form and show how it has the indicated domain. [2A]