For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also
ID: 3112451 • Letter: F
Question
For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain. f (x) = 2x + 9/9x - 2: g (x) = 6x/9x - 2 (d) Find (f/g) (x). (f/g) (x) = (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. A. The domain is {x | }. (Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The domain is {x| x is any real number}. (e) Find (f + g) (5). (f + g) (5) = (Type an integer or a simplified fraction.) (f) Find (f - g) (3). (f - g) (3) = (Type an integer or a simplified fraction.)Explanation / Answer
The questions from a- c is missing
The answer for Q.d is
(f/g)(x) = f(x)/g(x)
so (f/g)(x) = ((2x+9)/(9x-2))/ ((6x)/(9x-2))
= (2x + 9)/ 6x
The domain of the x is any real number but not zero.
Answer for e) (f+g)(5) =
(f+g)(x) = f(x) +g(x)
= (2x+9)/(9x-2) + 6x/(9x-2)
= 8x/(9x-2)
(f+g)(5) = 8(5)/(9(5) -2) = 40/43 = .9302
Answer for f) (f-g)(3)
(f-g)(x) = f(x) - g(x)
= (2x+9)/(9x-2) - 6x/(9x-2)
= (9-4x)/(9x-2)
(f-g)(3) = (9-4(3))/(9(3)-2)
= -3/25 = -0.12