Find (a) f(g(x)), (b) g(f(x)), and (c) f(f(x)). f(x) = 2x², g(x) = x-1 a. f(g(x)) = |2x² - 4x + 2 ✔ b. g(f(x)) = |2x² − 1 ✔ c. f(f(x)) = 8x4 ✔ State the domain and range of each composition. (a) Domain: (b) Domain: (c) Domain: 76°F Sunny x>-1 x>-2 x>1 X, Range: X, Range: X. Range: 0 y>-1 V>0
Find (a) f(g(x)), (b) g(f(x)), and (c) f(f(x)). f(x) = 2x², g(x) = x-1 a. f(g(x)) = |2x² - 4x + 2 ✔ b. g(f(x)) = |2x² − 1 ✔ c. f(f(x)) = 8x4 ✔ State the domain and range of each composition. (a) Domain: (b) Domain: (c) Domain: 76°F Sunny x>-1 x>-2 x>1 X, Range: X, Range: X. Range: 0 y>-1 V>0
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Find (a) f(g(x)), (b) g(f(x)), and (c) f(f(x)).
f(x) = 2x², g(x) = x-1
a. f(g(x)) = |2x² - 4x + 2 ✔
b. g(f(x)) = 2x² - 1 ✔
c. f(f(x)) = 8x4 ✔
State the domain and range of each composition.
(a) Domain:
(b) Domain:
(c) Domain:
76°F
Sunny
x>-1
x≥-2
x>1
X, Range:
X, Range:
1
X. Range:
0
y>-1
V> 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff906f076-101a-4c39-b576-9fc75023708b%2Fb383f17f-7f0f-4f11-aedb-861d49f61074%2Fpkmj5fd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find (a) f(g(x)), (b) g(f(x)), and (c) f(f(x)).
f(x) = 2x², g(x) = x-1
a. f(g(x)) = |2x² - 4x + 2 ✔
b. g(f(x)) = 2x² - 1 ✔
c. f(f(x)) = 8x4 ✔
State the domain and range of each composition.
(a) Domain:
(b) Domain:
(c) Domain:
76°F
Sunny
x>-1
x≥-2
x>1
X, Range:
X, Range:
1
X. Range:
0
y>-1
V> 0
![g(f(x)) = 2x² - 1 ✔
. f(f(x)) = 8x4
State the domain and range of each composition.
(a) Domain:
(b) Domain:
(c) Domain:
x>-1 X, Range:
x>-2 X, Range:
x>-2
x21
X, Range:
:x>-1
#x>0
y > 0
y2-1
Y≥0
:x>1
✓
✓
#y≥-1 :y>0
#y≥1
#y22
::All real numbers](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff906f076-101a-4c39-b576-9fc75023708b%2Fb383f17f-7f0f-4f11-aedb-861d49f61074%2Fypvql1d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:g(f(x)) = 2x² - 1 ✔
. f(f(x)) = 8x4
State the domain and range of each composition.
(a) Domain:
(b) Domain:
(c) Domain:
x>-1 X, Range:
x>-2 X, Range:
x>-2
x21
X, Range:
:x>-1
#x>0
y > 0
y2-1
Y≥0
:x>1
✓
✓
#y≥-1 :y>0
#y≥1
#y22
::All real numbers
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