Find the domain of the function (ƒ • g)(x) where ƒ(x) = 4x3 + 1, g(x) = 2 – 4x2.

The domain of this function is x = all real numbers.

The two things that typically limit a domain are dividing by zero and taking the square root of a negative. Since neither of these functions or their composite have a square root or a denominator, then you must be able to use all real numbers.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph