For f(x)=x² +9 and g(x)=√x-6, find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d) gog Select the correct choice below and fill in any answer boxes within your choice. A. The domain of fog is {x|x26}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) O B. The domain of f o g is all real numbers. (b) (gof)(x) = +3 (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. 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) = x + 18x² +90 (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. OA. The main off (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)=√√√√x-6-6 (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.) O B. The domain of go g is all real numbers.
For f(x)=x² +9 and g(x)=√x-6, find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d) gog Select the correct choice below and fill in any answer boxes within your choice. A. The domain of fog is {x|x26}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) O B. The domain of f o g is all real numbers. (b) (gof)(x) = +3 (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. 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) = x + 18x² +90 (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. OA. The main off (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)=√√√√x-6-6 (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.) O B. The domain of go g is all real numbers.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
Problem 10OE
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Please help me answer the last question.
Transcribed Image Text:For f(x) = x² +9 and g(x)=√x-6, find the following composite functions and state the domain of each.
(a) fog (b) gof
(c) fof
(d) gog
Select the correct choice below and fill in any answer boxes within your choice.
A. The domain of fog is (x|x26}.
(Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.)
OB. The domain off og is all real numbers.
(b) (gof)(x)=√x² +3 (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. 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) = x² + 18x² +90 (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. 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)=√√√√√x-6-6 (Simplify your answer.)
Select the correct choice below and fill in any answer boxes within your choice.
ⒸA. The domain of g - g is (x-
(Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.)
O B. The domain of g og is all real numbers.
C
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