(a) fog (b) gof (c) fof

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section4.2: Modeling With Linear Functions
Problem 26SE: For the following exercises, consider this scenario: The number of people afflicted with the common...
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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: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.
For f(x) = 5x + 6 and g(x) = 7x, find the following composite functions and state the domain of each.
%3D
(a) fog
(b) gof
(c) fof
(d) gog
(a) (f o 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.)
Transcribed Image Text:For f(x) = 5x + 6 and g(x) = 7x, find the following composite functions and state the domain of each. %3D (a) fog (b) gof (c) fof (d) gog (a) (f o 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.)
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