For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain. f(x)=√ 3x; g(x) = 5x - 3 (d) Find (x). 4-0 (x) = HE (Simplify your answer. Type an exact answer, using radicals as needed.) f What is the domain of ? Select the correct choice below and, if necessary, fill in the answer box to complete your choic g A. The domain is {x}. (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) OB. The domain is {x|x is any real number}. (e) Find (f+g)(5). (f+g)(5) = (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) (f) Find (f-g)(2). (f-g)(2) = (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) (g) Find (f g)(3). (f.g)(3) = (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section5.6: Rational Functions
Problem 85SE: For the following exercises, construct a rational function that will help solve the problem. Then,...
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For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.
f(x)=√√3x; g(x) = 5x − 3
(d) Find
(G)
(x).
(x) =
(Simplify your answer. Type an exact answer, using radicals as needed.)
IPSI
f
What is the domain of ? Select the correct choice below and, if necessary, fill in the answer box to complete your choic
g
O A. The domain is {x}
(Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
OB. The domain is {x x is any real number).
(e) Find (f+g)(5).
(f+g)(5)=
(Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
(f) Find (f - g)(2).
(f-g)(2)=
(Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
(g) Find (f.g)(3).
(f.g)(3) =
(Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
Transcribed Image Text:For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain. f(x)=√√3x; g(x) = 5x − 3 (d) Find (G) (x). (x) = (Simplify your answer. Type an exact answer, using radicals as needed.) IPSI f What is the domain of ? Select the correct choice below and, if necessary, fill in the answer box to complete your choic g O A. The domain is {x} (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) OB. The domain is {x x is any real number). (e) Find (f+g)(5). (f+g)(5)= (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) (f) Find (f - g)(2). (f-g)(2)= (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) (g) Find (f.g)(3). (f.g)(3) = (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)
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