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Prove by induction that 11 - 8 is a multiple of 3 for all n E N. (7) Prove that the function given by
Prove by induction that 11" - 8" is a multiple of 3 for all n E N. (7) Prove that the function given by x - f(x) = 2 = 3 x + 2 is 1-1 on R and find a formula for the inverse of f. (6) O Consider the functions f(x) = 2x + 1 and g(x)= x + 1. Indicate the domain of definition of each of the following functions: f, g, fog, gof. (6)
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a Prove by induction that 11n 8n is a multiple of 3 for all n N Base Case For n 1 we have 111 81 11 8 3 which is a multiple of 3 Inductive Step Assume ...
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An Introduction to Analysis
Authors: William R. Wade
4th edition
132296381, 978-0132296380
