Let F(x)= 4x-5 4x + 4 and G(x)=x+1. Find the domains of the compositions Fo G and G o F. X-1' Domain of F o G: O (-∞0,00) O (-∞, -1) U (-1,00) O (-∞0, 0) U (0, 1) U (1, 0) O (-∞0, 0) U (0,00) O (-∞, -4) U (-4, 5) U (5, ∞) Domain of Go F: O (-00, 0) U (0,00) O (-∞, -1) U (-1,00) - O (-0, 0) U (0, 1) U (1, 0) O(-∞, -4) U (-4, 5) U (5, 0o) 0 (-∞, 8) Compute the following. (a) (Fo G)(x)
Let F(x)= 4x-5 4x + 4 and G(x)=x+1. Find the domains of the compositions Fo G and G o F. X-1' Domain of F o G: O (-∞0,00) O (-∞, -1) U (-1,00) O (-∞0, 0) U (0, 1) U (1, 0) O (-∞0, 0) U (0,00) O (-∞, -4) U (-4, 5) U (5, ∞) Domain of Go F: O (-00, 0) U (0,00) O (-∞, -1) U (-1,00) - O (-0, 0) U (0, 1) U (1, 0) O(-∞, -4) U (-4, 5) U (5, 0o) 0 (-∞, 8) Compute the following. (a) (Fo G)(x)
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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![Let F(x)
4x - 5
4x + 4
Domain of G o F:
Domain of Fo G:
O (-∞0, ∞)
O (-∞, -1) U (-1,00)
O (-00, 0) U (0, 1) U (1, 0)
O (-∞, 0) U (0, ∞)
O (-∞, -4) U (-4, 5) U (5, ∞0)
and G(x)
(b)
O (-∞, 0) U (0, ∞)
O (-∞, -1) U (-1,00)
O (-0, 0) U (0, 1) U (1, 0)
O (-∞, -4) U (-4, 5) U (5,00)
O (-∞, ∞)
Compute the following.
(a)
(Fo G)(x)
(c)
X + 1
X+1. Find the domains of the compositions Fo G and G o F.
F[G(t)]
(Fo G)(2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f36f111-f1bc-4b8c-9508-d8f50a3e95e1%2Fe51dcfc1-f056-45c3-87d6-458c8f88012f%2Fbm20lz5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let F(x)
4x - 5
4x + 4
Domain of G o F:
Domain of Fo G:
O (-∞0, ∞)
O (-∞, -1) U (-1,00)
O (-00, 0) U (0, 1) U (1, 0)
O (-∞, 0) U (0, ∞)
O (-∞, -4) U (-4, 5) U (5, ∞0)
and G(x)
(b)
O (-∞, 0) U (0, ∞)
O (-∞, -1) U (-1,00)
O (-0, 0) U (0, 1) U (1, 0)
O (-∞, -4) U (-4, 5) U (5,00)
O (-∞, ∞)
Compute the following.
(a)
(Fo G)(x)
(c)
X + 1
X+1. Find the domains of the compositions Fo G and G o F.
F[G(t)]
(Fo G)(2)
![(a) (Fo G)(x)
(b) F[G(t)]
(c)
(d) (Go F)(x)
(e)
(Fo G)(2)
(f)
G[F(y)]
(Go F)(2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f36f111-f1bc-4b8c-9508-d8f50a3e95e1%2Fe51dcfc1-f056-45c3-87d6-458c8f88012f%2F6v6eoco_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) (Fo G)(x)
(b) F[G(t)]
(c)
(d) (Go F)(x)
(e)
(Fo G)(2)
(f)
G[F(y)]
(Go F)(2)
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