7. Given F(x)=√√√x+3 A. Find (fo (fog)(x) B. Find (9°F) (2) gof) → g (x) X -2 report domain and Simplify if possible report domain and Simplify if possible
7. Given F(x)=√√√x+3 A. Find (fo (fog)(x) B. Find (9°F) (2) gof) → g (x) X -2 report domain and Simplify if possible report domain and Simplify if possible
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Composite Functions Problem
**7. Given**
\[
f(x) = \sqrt{x + 3}, \quad g(x) = x^2 - 2
\]
**Tasks:**
**A. Find \((f \circ g)(x)\)**
- Report domain and simplify if possible.
**B. Find \((g \circ f)(x)\)**
- Report domain and simplify if possible.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41a94607-ae05-49d2-a989-bd66a70c4a42%2Fdb061995-b41d-4114-bb07-b4e0a1fa9d74%2Fo0vhrbc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Composite Functions Problem
**7. Given**
\[
f(x) = \sqrt{x + 3}, \quad g(x) = x^2 - 2
\]
**Tasks:**
**A. Find \((f \circ g)(x)\)**
- Report domain and simplify if possible.
**B. Find \((g \circ f)(x)\)**
- Report domain and simplify if possible.
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