x-3 1. f(x) = x2 + 1 g(x)= v1–x h(x) = v(x) =-9 w (x) = 4x +3 r(x): %3D x+7 Find the following and state the domain. Write answers as single fractions, without fractions within fractions. A. (row)(x) = Domain: B. (ho h)(x) = Domain:
x-3 1. f(x) = x2 + 1 g(x)= v1–x h(x) = v(x) =-9 w (x) = 4x +3 r(x): %3D x+7 Find the following and state the domain. Write answers as single fractions, without fractions within fractions. A. (row)(x) = Domain: B. (ho h)(x) = Domain:
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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![Here's a transcription of the image content suitable for an educational website:
---
**1.**
Define the functions:
\[
f(x) = x^2 + 1
\]
\[
g(x) = \sqrt{1-x}
\]
\[
h(x) = \frac{5}{x}
\]
\[
v(x) = \frac{4}{x^2 - 9}
\]
\[
w(x) = 4x + 3
\]
\[
r(x) = \frac{x - 3}{x + 7}
\]
**Task:**
Find the following compositions and state their domains. Write answers as single fractions, without fractions within fractions.
**A.** \( (r \circ w)(x) = \)
*Domain:*
**B.** \( (h \circ h)(x) = \)
*Domain:*
**C.** \( (h \circ f)(x) = \)
*Domain:*
**D.** \( (f \circ g)(x) = \)
*Domain:*
**E.** \( (v \circ g)(x) = \)
*Domain:*
---
The image contains no additional graphs or diagrams other than the functions and composition expressions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4aac31e-948a-4a8b-90ea-39083146a48b%2F5b6e0ec4-1921-4eee-816f-51145df674a4%2Fgdqgj1v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Here's a transcription of the image content suitable for an educational website:
---
**1.**
Define the functions:
\[
f(x) = x^2 + 1
\]
\[
g(x) = \sqrt{1-x}
\]
\[
h(x) = \frac{5}{x}
\]
\[
v(x) = \frac{4}{x^2 - 9}
\]
\[
w(x) = 4x + 3
\]
\[
r(x) = \frac{x - 3}{x + 7}
\]
**Task:**
Find the following compositions and state their domains. Write answers as single fractions, without fractions within fractions.
**A.** \( (r \circ w)(x) = \)
*Domain:*
**B.** \( (h \circ h)(x) = \)
*Domain:*
**C.** \( (h \circ f)(x) = \)
*Domain:*
**D.** \( (f \circ g)(x) = \)
*Domain:*
**E.** \( (v \circ g)(x) = \)
*Domain:*
---
The image contains no additional graphs or diagrams other than the functions and composition expressions.
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