2. If f(x) = and g(x) = sin(x): (a) Find the function (gof)(x) and its domain. (b) Find the function (fog)(x) and its domain. 3. If f(x) = x² + 2x + 1, find f(x + h) where h is a variable.
2. If f(x) = and g(x) = sin(x): (a) Find the function (gof)(x) and its domain. (b) Find the function (fog)(x) and its domain. 3. If f(x) = x² + 2x + 1, find f(x + h) where h is a variable.
Chapter3: Functions
Section3.7: Inverse Functions
Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?
Related questions
Question
![2. If f(x) = and g(x) = sin(x):
(a) Find the function (gof)(x) and its domain.
(b) Find the function (fog)(x) and its domain.
3. If f(x) = x² + 2x + 1, find f(x + h) where h is a variable.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd375a7e5-ad67-4b21-afad-3fb7503a0e18%2F3f9e1f50-e400-40b1-be5c-21f0f5cfb843%2Fmmuu14_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. If f(x) = and g(x) = sin(x):
(a) Find the function (gof)(x) and its domain.
(b) Find the function (fog)(x) and its domain.
3. If f(x) = x² + 2x + 1, find f(x + h) where h is a variable.
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