For f(x) = 6x +7 and g(x)=x², find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d) gog (a) (fog)(x) = (Simplify your answer.) Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. 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.) OB. The domain of fog is all real numbers. (b) (gof)(x) = (Simplify your answer.) Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The domain of g of is (x- (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) OB. The domain of g of is all real numbers. (c) (fof)(x) = (Simplify your answer.) Select the correct choice below and, if necessary, fill in the answer box within your choice. C OA. The domain off of is {x}. (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers s needed.) OB. The domain off of is all real numbers. (d) (gog)(x) = (Simplify your answer.) Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The domain of gogis (x- (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers s needed.)
For f(x) = 6x +7 and g(x)=x², find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d) gog (a) (fog)(x) = (Simplify your answer.) Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. 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.) OB. The domain of fog is all real numbers. (b) (gof)(x) = (Simplify your answer.) Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The domain of g of is (x- (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) OB. The domain of g of is all real numbers. (c) (fof)(x) = (Simplify your answer.) Select the correct choice below and, if necessary, fill in the answer box within your choice. C OA. The domain off of is {x}. (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers s needed.) OB. The domain off of is all real numbers. (d) (gog)(x) = (Simplify your answer.) Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The domain of gogis (x- (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma to separate answers s needed.)
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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Transcribed Image Text:For f(x) = 6x + 7 and g(x)=x², find the following composite functions and state the domain of each.
(a) fog
(b) gof
(c) fof
(d) gog
(a) (fog)(x) =
(Simplify your answer.)
Select the correct choice below and, if necessary, fill in the answer box 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.
C
(b) (gof)(x) =
(Simplify your answer.)
Select the correct choice below and, if necessary, fill in the answer box within your choice.
OA. The domain of g of 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 g of is all real numbers.
(c) (f of)(x) =
(Simplify your answer.)
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. The domain off of 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 off of is all real numbers.
(d) (gog)(x) = (Simplify your answer.)
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. The domain of g og 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 g og is all real numbers.
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