6.3 Let g: R → R be a real-valued function defined by g(x) = x² + 2x - 1. Let A = (-2,3], and B = [0,4). 1. Find g(A) 2. Find g-¹(B) 3. Does g have an inverse? If so, what is it?

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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6.3 Let g: R → R be a real-valued function defined by g(x) = x² + 2x - 1. Let A = (-2,3],
and B = [0,4).
1. Find g (A)
2. Find g=¹(B)
3. Does g have an inverse? If so, what is it?
Transcribed Image Text:6.3 Let g: R → R be a real-valued function defined by g(x) = x² + 2x - 1. Let A = (-2,3], and B = [0,4). 1. Find g (A) 2. Find g=¹(B) 3. Does g have an inverse? If so, what is it?
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