For f(x) = (a) fog 7 x-3 2 =, find the following composite functions and state the domain of each. X (c) fof (d) gog and g(x)= (b) gof ... (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 (Type an inequality. Use integers fractions for any numbers in the expression. Use a comma t separate answers as needed.) O B. The domain of f o g is all real numbers. (b) (gof)(x) = (Simplify your answer. Use integers or fractions for any numbers in the expression.) Select the correct choice below and fill in any answer boxes 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 fill in any answer boxes 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 fill in any answer boxes within your choice.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 9PT: Based on the graph, determine the zeros of the function and multiplicities.
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For f(x) =
(a) fog
7
x-3
and g(x) =
(b) gof
2
find the following composite functions and state the domain of each.
(c) fof
X
(d) gog
(a) (fog)(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
(Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma t
separate answers as needed.)
OB. The domain of fo g is all real numbers.
(b) (gof)(x) =
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
Select the correct choice below and fill in any answer boxes 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 fill in any answer boxes 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 off of is all real numbers.
(d) (gog)(x) = (Simplify your answer.)
Select the correct choice below and fill in any answer boxes within your choice.
Transcribed Image Text:For f(x) = (a) fog 7 x-3 and g(x) = (b) gof 2 find the following composite functions and state the domain of each. (c) fof X (d) gog (a) (fog)(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 (Type an inequality. Use integers or fractions for any numbers in the expression. Use a comma t separate answers as needed.) OB. The domain of fo g is all real numbers. (b) (gof)(x) = (Simplify your answer. Use integers or fractions for any numbers in the expression.) Select the correct choice below and fill in any answer boxes 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 fill in any answer boxes 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 off of is all real numbers. (d) (gog)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice.
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