BU111 Lecture 2: Lab Report 2 Solutions.pdf
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BU111 Full Course Notes
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[3 marks] determine the domain of each of the following functions. State results using interval notation. (a) g(x) = x + 4 x2 (cid:0) 16 x2 (cid:0) 16 6= 0 ) (x (cid:0) 4)(x + 4) 6= 0 ) x 6= 4;(cid:0)4. ) domg is x 2 ((cid:0)1;(cid:0)4) [ ((cid:0)4; 4) [ (4;1) (b) f (x) =s(cid:18) 25 (cid:0) x2 x (cid:19) 25 (cid:0) x2 x ((cid:0)1;(cid:0)5) (cid:0)5 ((cid:0)5; 0) ) domf is x 2 ((cid:0)1;(cid:0)5] [ (0; 5] : evaluate each of the following and simplify your results. [3 marks] consider the function f (x) = 1 (cid:0) x (a) f (2 + h) (b) 5 + 2h (cid:0)1 (cid:0) h f (2 + h) (cid:0) f (2) h. 5 + 2h (cid:0)1 (cid:0) h h (5 + 2h) + 5((cid:0)1 (cid:0) h) h((cid:0)1 (cid:0) h) (cid:0)3h h((cid:0)1 (cid:0) h) [6 marks] a car dealership has 30 cars on its lot.
