What is the domain of the function below?
f(x) = (x + 4)^2 - 4
A. (-infinity sign, -4]
B. [-4, infinity sign)
C. [0, infinity sign)
D. (-infinity sign, infinity sign)
I believe the answer is either A or B, can someone please help me?
as with all polynomials, it is D
Thanks
To determine the domain of the function f(x) = (x + 4)^2 - 4, we need to consider the values of x that will produce a valid output. In other words, we need to find the set of all possible x-values for which the function is defined.
In this case, there are no restrictions or limitations on the x-values. The function is a polynomial and does not involve division by zero or any other operations that could cause it to be undefined.
Therefore, the domain of the function f(x) is (-∞, ∞), which means all real numbers are valid inputs for x.
So, the correct answer is option D: (-∞, ∞).