For f(x)=x2 and g(x) = x²+4, find the following composite functions and state the domain of each. (a) fog. (b) g of (c) fof (d) gog (a) (fog)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes 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) (g of)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. OA. 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) (fof)(x)= (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. OA. 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. OA. 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.) OB. The domain of go g is all real numbers. 80 a 8 Dil
For f(x)=x2 and g(x) = x²+4, find the following composite functions and state the domain of each. (a) fog. (b) g of (c) fof (d) gog (a) (fog)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes 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) (g of)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. OA. 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) (fof)(x)= (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. OA. 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. OA. 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.) OB. The domain of go g is all real numbers. 80 a 8 Dil
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.6: Relations
Problem 2BGP
Related questions
Question
Transcribed Image Text:For f(x)=x2 and g(x) = x²+4, find the following composite functions and state the domain of each.
(a) fog.
(b) g of
(c) fof
(d) gog
(a) (fog)(x) = (Simplify your answer.)
Select the correct choice below and fill in any answer boxes 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) (g of)(x) = (Simplify your answer.)
Select the correct choice below and fill in any answer boxes within your choice.
OA. 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) (fof)(x)=
(Simplify your answer.)
Select the correct choice below and fill in any answer boxes within your choice.
OA. 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.
OA. 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.)
OB. The domain of go g is all real numbers.
80
a
8
Dil
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