Find composition of functions and domains. X (a) For f(x) = -3 and g(x) = find (fog)(x) and the domain of (fog)(x). 2 " x+7

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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do only A). Find the composition of function and its domain.
1. Find composition of functions and domains.
x
2
(a) For f(x)=
=
and g(x)=
=
find (fog)(x) and the domain of (fog)(x).
X-
x+7'
3
X
(b) For f(x):
=
and g(x)
find (gof)(x) and the domain of (gof)(x).
x- - 5
x+1'
Use the Rational Zeros Theorem to list all possible rational zeros of polynomial functions a
Chen find the actual (real/complex) zeros.
(a) f(x) = 2x²-x³-14x² - 5x+6
(b) f(x) = x² - 4x³ - 17x² +42x + 54
c) f(x) = 3x4 - 25x³ +74x² - 82x + 20
(d) f(x) = 5x² - 6x³ +21x² - 24x + 4
ve rational equations.
3
=
Transcribed Image Text:1. Find composition of functions and domains. x 2 (a) For f(x)= = and g(x)= = find (fog)(x) and the domain of (fog)(x). X- x+7' 3 X (b) For f(x): = and g(x) find (gof)(x) and the domain of (gof)(x). x- - 5 x+1' Use the Rational Zeros Theorem to list all possible rational zeros of polynomial functions a Chen find the actual (real/complex) zeros. (a) f(x) = 2x²-x³-14x² - 5x+6 (b) f(x) = x² - 4x³ - 17x² +42x + 54 c) f(x) = 3x4 - 25x³ +74x² - 82x + 20 (d) f(x) = 5x² - 6x³ +21x² - 24x + 4 ve rational equations. 3 =
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