For f(x)=x² +6 and g(x)=√x-3, 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 fill in any answer boxes within your choice. A. The domain of fog is {x}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. The domain of fog is all real numbers. (b) (gof)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain of g of is {x}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. 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. A. The domain off of is {x}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. 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. A. The domain of g og is {x}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. The domain of g og is all real numbers.
For f(x)=x² +6 and g(x)=√x-3, 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 fill in any answer boxes within your choice. A. The domain of fog is {x}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. The domain of fog is all real numbers. (b) (gof)(x) = (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain of g of is {x}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. 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. A. The domain off of is {x}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. 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. A. The domain of g og is {x}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. The domain of g og is all real numbers.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter3: Graphing Linear Functions
Section: Chapter Questions
Problem 5CA
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Transcribed Image Text:For f(x) = x² +6 and g(x)=√√√x-3, 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 fill in any answer boxes within your choice.
O A. The domain of fog is {x}.
(Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.)
B. The domain of f o g is all real numbers.
(b) (gof)(x) = (Simplify your answer.)
Select the correct choice below and fill in any answer boxes within your choice.
A. The domain of g of is {x}.
(Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.)
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.
A. The domain off of is {x}.
(Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.)
B. 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.
A. The domain of g og is {x}.
(Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.)
B. The domain of g o g is all real numbers.
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