A common function which is quite applicable to the field of mathematics and science is the greatest integer function, which is denoted by: it) = [Ill The greatest integer function is defined as follows: [1:] is the greatest integer less than or equal to 2: Some examples of the evaluation of III] are: f(6-7) = [6-7] = 6; f6) = [[3]] = 3; f(2-3) = \"2-3] = 3; f(10)= [F101] 2 10 {a} Given that f(x) = |[x]] , find f(1t) = [[JI]] and f(II) = |[II]] . [4 mks] [10x + [15]] (b) Given that 901:) =T , find g(6) and g(2.68) . [6 mks]