2. Let f(x) = V4 – x for x < 4 and g(x) = x² for all x E R. (a) Give the domain of f · g, ƒ + g, ƒ º g, ang go f. (b) Prove that g(x) is continuous at x = 2 using the e-d definition.
2. Let f(x) = V4 – x for x < 4 and g(x) = x² for all x E R. (a) Give the domain of f · g, ƒ + g, ƒ º g, ang go f. (b) Prove that g(x) is continuous at x = 2 using the e-d definition.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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![2. Let f(x) = V4 – x for x < 4 and g(x) = x² for all x E R.
(a) Give the domain of f · g, ƒ + g, ƒ º g, ang go f.
(b) Prove that g(x) is continuous at x = 2 using the e-d definition.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F481673bb-927f-457a-8614-66b8953f972a%2F4beeb54c-6046-4e35-b413-dfd115edb298%2F0f5xjkb_processed.png&w=3840&q=75)
Transcribed Image Text:2. Let f(x) = V4 – x for x < 4 and g(x) = x² for all x E R.
(a) Give the domain of f · g, ƒ + g, ƒ º g, ang go f.
(b) Prove that g(x) is continuous at x = 2 using the e-d definition.
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