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.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 1PT: Determine whether the following algebraic equationcan be written as a linear function. 2x+3y=7
icon
Related questions
Question

Please help me answer these questions.  Thanks.

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.)
~
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
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Big Ideas Math A Bridge To Success Algebra 1: Stu…
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…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL