f(x) = 1 x-5' 9(x) = 1 - 6 (a) Find (f+ g)(x). 2 X -6x² + 32x-5 (f + g)(x) x(x-5) State the domain of the function. (Enter your answer using interval notation.) (-∞,0) U (0,5) U (5,00) (b) Find (fg)(x). 2 6x 30x + 5 (f - g)(x) = x(x-5) State the domain of the function. (Enter your answer using interval notation.) (-∞,0) U (0,5) U (5,∞) (c) Find (fg)(x). (fg)(x) = x 1 - 11x State the domain of the function. (Enter your answer using interval notation.) | (-∞ 1) (1∞) (4)(x). (d) Find g (4)(x) = (x-5)(1 - 6x) State the domain of the function. (Enter your answer using interval notation.) (-) (15]

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...
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f(x)
=
1
x-5' 9(x) = 1 - 6
(a) Find (f+ g)(x).
2
X
-6x² + 32x-5
(f + g)(x)
x(x-5)
State the domain of the function. (Enter your answer using interval notation.)
(-∞,0) U (0,5) U (5,00)
(b) Find (fg)(x).
2
6x
30x + 5
(f - g)(x) =
x(x-5)
State the domain of the function. (Enter your answer using interval notation.)
(-∞,0) U (0,5) U (5,∞)
(c) Find (fg)(x).
(fg)(x) =
x
1 - 11x
State the domain of the function. (Enter your answer using interval notation.)
| (-∞ 1) (1∞)
(4)(x).
(d) Find
g
(4)(x) = (x-5)(1
- 6x)
State the domain of the function. (Enter your answer using interval notation.)
(-) (15]
Transcribed Image Text:f(x) = 1 x-5' 9(x) = 1 - 6 (a) Find (f+ g)(x). 2 X -6x² + 32x-5 (f + g)(x) x(x-5) State the domain of the function. (Enter your answer using interval notation.) (-∞,0) U (0,5) U (5,00) (b) Find (fg)(x). 2 6x 30x + 5 (f - g)(x) = x(x-5) State the domain of the function. (Enter your answer using interval notation.) (-∞,0) U (0,5) U (5,∞) (c) Find (fg)(x). (fg)(x) = x 1 - 11x State the domain of the function. (Enter your answer using interval notation.) | (-∞ 1) (1∞) (4)(x). (d) Find g (4)(x) = (x-5)(1 - 6x) State the domain of the function. (Enter your answer using interval notation.) (-) (15]
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