For f(x) = 8x + 5 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. 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.) OB. The domain of f 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 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.) OB. The domain of g og is all real numbers.
For f(x) = 8x + 5 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. 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.) OB. The domain of f 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 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.) OB. The domain of g og is all real numbers.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 51HP
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Transcribed Image Text:For f(x) = 8x + 5 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.)
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.)
OB. 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.)
OB. The domain of f of is all real numbers.
(d) (g og)(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.)
OB. The domain of g og is all real numbers.
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