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Problem Sheet #10 (4.1-4.3) Classlb: Math 1090 - o\4r’S Name: 001 Spring 2013 Hmk. 10 Score 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. a) f(x) (x — 1): + 2 = — ‘;S (-\) c-2 b) g(x) ‘S 42 =(-) = x-2 x+3 - (4’l: -% \(= ‘43 x()= —2 ‘)(54( Lj-2 2. 2 12x÷15. Givenh(x)=2x + i) How must you restrict the domain of h so that it does have an inverse 2 4( ,ç \- , -y ) 2(cc’+ ) ‘ ii) Find the inverse. ç 0 2 2(xt) —3 #3 )c4-3 (t) 2 ?01%4 2 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. 5 a) f(x) =2— e’ Base function is y Transformation(s): — 0 c*i 2 S — b) g(x) = 1 x) Iog ( 5 — — -3 3 Base function is y: Transformation(s): c-\€ckior j 2 1