For f(x) = x-7 7 find the following composite functions and state the domain of each. and g(x) = x' (a) fog (b) gof (c) fof (d) gog (a) (fo g)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. O A. The domain of fog is (x (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. The domain of fog is all real numbers. (b) (g o f)(x) = (Simplify your answer. Use integers or fractions for any numbers in the expression.) Select the correct choice below and fill in any answer boxes within your choice. O A. The domain of gofis {x |U}: (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. The domain of gofis all real numbers. (c) (fo f)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. O A. The domain of fof is {x (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. The domain of fof is all real numbers. (d) (g o g)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. O A. The domain of gog is {x (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. The domain of gog is all real numbers.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
6
and g(x) = -, find the following composite functions and state the domain of each.
7
For f(x) =
х-7
X
(a) fog
(b) gof
(c) fof
(d) gog
(a) (fo g)(x) =
(Simplify your answer.)
Select the correct choice below and fill in any answer boxes within your choice.
A. The domain of fog is (x ||
(Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
B. The domain of fog is all real numbers.
(b) (g o f)(x) =
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
Select the correct choice below and fill in any answer boxes within your choice.
A. The domain of gof is {x | }.
(Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
B. The domain of gof is all real numbers.
(c) (f o f)(x) = (Simplify your answer.)
Select the correct choice below and fill in any answer boxes within your choice.
A. The domain of fof is {x }.
(Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
B. The domain of fof is all real numbers.
(d) (g o g)(x) = (Simplify your answer.)
Select the correct choice below and fill in any answer boxes within your choice.
A. The domain of gog is {x }:
(Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
B. The domain of gog is all real numbers.
Transcribed Image Text:6 and g(x) = -, find the following composite functions and state the domain of each. 7 For f(x) = х-7 X (a) fog (b) gof (c) fof (d) gog (a) (fo g)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain of fog is (x || (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain of fog is all real numbers. (b) (g o f)(x) = (Simplify your answer. Use integers or fractions for any numbers in the expression.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain of gof is {x | }. (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain of gof is all real numbers. (c) (f o f)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain of fof is {x }. (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain of fof is all real numbers. (d) (g o g)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain of gog is {x }: (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain of gog is all real numbers.
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