For f(x) = 5x + 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. (b) (gof)(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 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 o f)(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 go g 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.
For f(x) = 5x + 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. (b) (gof)(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 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 o f)(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 go g 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.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.CR: Chapter Review
Problem 18E
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Transcribed Image Text:For
f(x) = 5x + 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.
(b) (gof)(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 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) (g • g)(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 go g 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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