Let f(x) = x² and g(x) = x + 3. Determine an equation for each composite function. 2. y = g(f(x)) a. x² +3 b. x² - 3 C. x² +6 d. x +3 3. y = f(f(x)) a. x4 b. x² +3 C. x3 d. x 8 - 4. y=g¹(g(x)) a. X b. x-1 C. X + 1 d. x² +3

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 4SE: How do you find the domain for the composition of two functions, fg ?
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Let f(x) = x² and g(x) = x + 3. Determine an equation for each composite function.
2. y = g(f(x))
a. x² +3
b. x² - 3
C. x² +6
d. x +3
3. y = f(f(x))
a. x4
b. x² +3
C. x3
d. x 8
-
4. y=g¹(g(x))
a. X
b. x-1
C. X + 1
d. x² +3
Transcribed Image Text:Let f(x) = x² and g(x) = x + 3. Determine an equation for each composite function. 2. y = g(f(x)) a. x² +3 b. x² - 3 C. x² +6 d. x +3 3. y = f(f(x)) a. x4 b. x² +3 C. x3 d. x 8 - 4. y=g¹(g(x)) a. X b. x-1 C. X + 1 d. x² +3
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