For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain. f(x) =x-6; g(x) = 3x? (a) Find (f+ g)(x). (f+g)(x)= 3x +x-6 (Simplify your answer.) What is the domain of f+ g? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain is x|xER} (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. The domain is {x| x is any real number}. (b) Find (f-g)(x). (f- g)(x)=- 3x +x-6 (Simplify your answer.)

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.1: Relations And Functions
Problem 75PS
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For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.
f(x) =x=6; g(x)=3x²
(a) Find (f+g)(x).
(f+g)(x)=|3x+x-6(Simplify your answer.)
What is the domain of f+g? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The domain is (XXER
(Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
O B. The domain is (x x is any real number}.
(b) Find (f g)(x).
(f-g)(x)=-
3x +x-6 (Simplify your answer.)
What is the domain of f-g? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The domain is x
(Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed)
Click to select your answer(S).
PType here to search
Transcribed Image Text:For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain. f(x) =x=6; g(x)=3x² (a) Find (f+g)(x). (f+g)(x)=|3x+x-6(Simplify your answer.) What is the domain of f+g? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The domain is (XXER (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. The domain is (x x is any real number}. (b) Find (f g)(x). (f-g)(x)=- 3x +x-6 (Simplify your answer.) What is the domain of f-g? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The domain is x (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed) Click to select your answer(S). PType here to search
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