Forf(x)=√x and g(x) = 5x +9, find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d) gog (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 off og is {x}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) O B. 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. O A. The domain of g of is {x}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) 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. Simplify your answer. Use integers or fractions for any numbers in the expression.) 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. OA. The domain of g og is {x}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.)
Forf(x)=√x and g(x) = 5x +9, find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d) gog (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 off og is {x}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) O B. 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. O A. The domain of g of is {x}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) 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. Simplify your answer. Use integers or fractions for any numbers in the expression.) 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. OA. The domain of g og is {x}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.)
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
Related questions
Question
Please help me answer these questions. Thanks.
Transcribed Image Text:Forf(x)=√x and g(x)= 5x +9, 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 f og is {x}
(Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.)
O B. The domain off og is all real numbers.
(b) (gof)(x) = (Simplify your answer.)
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. Simplify your answer. Use integers or fractions for any numbers in the expression.)
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. Simplify your answer. Use integers or fractions for any numbers in the expression.)
O B. The domain off of is all real numbers.
(d) (g • g)(x) = (Simplify your answer.)
Select the correct choice below and fill in any answer boxes within your choice.
O A. The domain of g og is {x}.
(Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.)
~
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 2 images
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage