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Q-2: a) Let X, Y, and Z be sets. Use the sets identities to show that: (XY)n(y-z)n (X - Z) = 4 b) In the questions below show that each rule with the given domain and codomain is not a function: i. f:Z → R where f(n) = ±n. 1 ii. g:Z → R where g(n) = = (n2-4) iii. h: ZR where h(n) = √n +1. iv. k: N N where k(n) = any integer > n. → c) Find the value of the sum Σ2010 k² (k − 3) -

Q-2: a) Let X, Y, and Z be sets. Use the sets identities to show that: (XY)n(y-z)n (X - Z) = 4 b) In the questions below show that each rule with the given domain and codomain is not a function: i. f:Z → R where f(n) = ±n. 1 ii. g:Z → R where g(n) = = (n2-4) iii. h: ZR where h(n) = √n +1. iv. k: N N where k(n) = any integer > n. → c) Find the value of the sum Σ2010 k² (k − 3) -

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 17E
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Q-2: a) Let X, Y, and Z be sets. Use the sets identities to show that: (XY)n(y-z)n (X - Z) = 4 b) In the questions below show that each rule with the given domain and codomain is not a function: i. f:Z → R where f(n) = ±n. 1 ii. g:Z → R where g(n) = = (n2-4) iii. h: ZR where h(n) = √n +1. iv. k: N N where k(n) = any integer > n. → c) Find the value of the sum Σ2010 k² (k − 3) -
Transcribed Image Text:Q-2: a) Let X, Y, and Z be sets. Use the sets identities to show that: (XY)n(y-z)n (X - Z) = 4 b) In the questions below show that each rule with the given domain and codomain is not a function: i. f:Z → R where f(n) = ±n. 1 ii. g:Z → R where g(n) = = (n2-4) iii. h: ZR where h(n) = √n +1. iv. k: N N where k(n) = any integer > n. → c) Find the value of the sum Σ2010 k² (k − 3) -
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