Let f(x)=3x−1 and g(x)=4x2. Perform the function operation and then find the domain of the result. (f−g)(x)

Answer 1

f(x) = 3x-1

g(x)= 4x+2

(f-g)(x) = f(x) - g(x)

(f-g)(x) =[3x - 1] - [4x + 2]

Carry the negative to the 4x + 2 term

(f-g)(x) = 3x - 1 - 4x - 2

Combine Like terms - start with the ones that end in "x"

3x - 1 -4x - 2

3 - 4 = -1

(f-g)(x) = -x - 1 - 2

Now the integers

-1 - 2 = -3

(f-g)(x) = -x-3

Domain = All Real Numbers. X Can be any integer