Question
For the given functions f and g. complete parts (a)-(h). For parts (a) (d), also find the domain. f(x)- 4x 1: g(x) 6x-5 (a) Find (f+gxx). (1+gXX_ (Simplify your answer.) What is the domain of 1+g? Select the correct choice below and, if necessary, fill in the answer box to complete your choice 0 A. The domain is {xD O B. The domain is (1 x is any real number) (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) (b) Find (f g)(x). (f-g)(x)-O (Simplify your answer ) What is the domain of f-g? Select the correct choice below and, if necessary. fill in the answer box to complete your choice O A. The domain is {x O B. The domain is (xl x is any real number). (c) Find (f gx). (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) (f, g)(x)= (Simplify your answer.)
Explanation / Answer
f+g :
Add em up :
4x + 1 + (6x - 5)
10x - 4
Domain : All real numbers
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f - g :
4x + 1 - (6x - 5)
6 - 2x
Domain : All reals
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f*g :
(4x +1)(6x - 5)
Multiply it out :
24x^2 - 14x - 5
Domain : All reals
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f/g :
(4x + 1) / (6x - 5)
Domain :
Every number except x = 5/6