For f(x) = 2x + 6 and g(x) = 2x, find the following composite functions and state the domain of each. (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 }.

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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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: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.
For f(x) = 2x+ 6 and g(x) = 2x, find the following composite functions and state the domain of each.
(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.)
O B. The domain of fog is all real numbers.
(b) (g o f)(x) =
(Simplify your answer.)
Select the correct choice below and fill in any answer boxes within your choice.
O 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.)
%3D
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.)
B. The domain of fof is all real numbers.
(d) (g o g)(x) =
(Simplify your answer.)
%D
Transcribed Image Text:For f(x) = 2x+ 6 and g(x) = 2x, find the following composite functions and state the domain of each. (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.) O B. The domain of fog is all real numbers. (b) (g o f)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. O 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.) %3D 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.) B. The domain of fof is all real numbers. (d) (g o g)(x) = (Simplify your answer.) %D
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