Problem Sheet #10 (4.1-4.3) ClassID: _____ Name: _________________________ Hmk. 10 Score _________ Math 1090 – 001 Spring 2013 Instructor: Katrina Johnson Complete each problem. Clearly indicate your final answer. No credit will be given without supporting work. 1. Find the inverse of each function. 3 a) f (x) = ( x −1) + 2 € b) g(x) = x −2 x+3 € 2. Given h(x) = 2x 2 +12x +15 . i) How must you restrict the domain of h so that it does have an inverse? € ii) Find the inverse. 3. Identify the base function and describe the transformations. Then sketch the transformed function, labeling at least two points and the horizontal or vertical asymptote. a) f (x) = 2 − e x −5 € Base function is y=_______ Transformation(s): b) g(x) = log 5 (1 − x) − 3 € Base function is y=_______ Transformation(s):