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# College Algebra MAT 140

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This 4 page Class Notes was uploaded by Florian Watsica on Thursday October 15, 2015. The Class Notes belongs to MAT 140 at Murray State University taught by Staff in Fall. Since its upload, it has received 19 views. For similar materials see /class/223605/mat-140-murray-state-university in Mat Mathematics at Murray State University.

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Date Created: 10/15/15

COLLEGE ALGEBRA MAT 140 FALL 2008 Review 4 I State whether each statement is True or False as stated Provide a clear reason for your answer f996 f96 39995 0 The domain of the composite function f o g is the same as the domain of o If f and g are inverse functions7 then the domain of f is the same as the domain of g 1 1 o The graphs of y 3m and y are identical II Evaluate each expression usin the values given in the table I III Given that f 4x3 7 3 and g 3 7 Ezz nd 4 o f o 9 90f2 909W fof1 74 IV Find the domain of the composite function f 09 given that f z 1 and g 7 s 7 s V Given that f xz 7 2 and g 17 2x nd f0996 9 0 f96 VI Find functions f and 9 so that f o g H where 2 1 VII Determine whether the function is one to one 122787371874732 276i376747971710 VIII The graph of a function f is given Determine whether f is one to one Figure 1 2 96 IX Find the inverse of the function f 3 State the domain of f and nd its range X Solve the equations COLLEGE ALGEBRA MAT 140 FALL 2008 Review 5 I True or False problems testing concepts II Given that log5 0699 and log4 06027 compute o log20 o log64 1 1 7 o og5 o log02 III Write each expression as a sum andor di erence of logarithms Express powers as factors 1 x27x72 g 1 gt2 z42 9 SzW oln zgt4 95437 IV Write each expression as a single logarithm o 2 log2x 1 7log2z 3 7 log2x 71 z22z73 x27x6 Cg W OE z 2 V Solve the equations 2z1 5172z o ln17ln3 o 22m72m27120 o log2x 7 log wz 7 s 71 VI Find the amount that results from each investment 0 500 invested at 8 compounded quarterly after a period of 2 years 0 100 invested at 12 compounded continuously after a period of 3 years 0 200 invested at 9 compounded weekly after a period of 2 years VII What rate of interest compounded annually is required to double an investment in 10 years VIII Which is the better deal7 9 compounded quarterly or 924 compounded annually IX How long will it take for an initial investment of 107 000 to grow to 25000 Assume a rate of interest of 6 compounded continuously

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