For the given functions, find (f o g)(x) and (go f)(x) and the domain of each. 7 f(x) = 9(x) = 1-4x 7x (fo g)(x) = (Simplify your answer.) X-4 1-4x (g o f)(x) = (Simplify your answer.) 7 What is the domain of fo g? O B. (-0,4) U (4,00) O A. (-0,-4) U (-4,0) U (0,00) OC. (- 0,0) U (0,00) O D. (- o,0) U (0,4) U (4,00)

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter8: Roots And Radicals
Section8.7: Use Radicals In Functions
Problem 8.143TI: Find the domain of the function, f(x)=4x+3. Write the domain in interval notation.
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For the given functions, find (f o g)(x) and (g o f)(x) and the domain of each.
1
f(x) =
g(x) =
|
1-4x
7x
(fo g)(x) =
X-4
(Simplify your answer.)
1-4x
(g o f)(x) =
(Simplify your answer.)
7
What is the domain of fog?
O B. (-0,4) U (4,00)
O A. (- 0, - 4)U(-4,0) U (0,00)
te
OC. (-0,0) U (0,00)
O D. (-∞,0) U (0,4) U (4,00)
Transcribed Image Text:For the given functions, find (f o g)(x) and (g o f)(x) and the domain of each. 1 f(x) = g(x) = | 1-4x 7x (fo g)(x) = X-4 (Simplify your answer.) 1-4x (g o f)(x) = (Simplify your answer.) 7 What is the domain of fog? O B. (-0,4) U (4,00) O A. (- 0, - 4)U(-4,0) U (0,00) te OC. (-0,0) U (0,00) O D. (-∞,0) U (0,4) U (4,00)
Expert Solution
Step 1

Given functions are f(x)=71-4x and gx=1x.

We have to find composition of functions and domain of functions fg and gf.

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