Question

which is the domain of h(x) = 4 - 2x?
a x is all real numbers
b x > 0
c y is all real numbers
d none of these
e y > 0

Explanation:

Step1: Recall Domain Definition

The domain of a function is the set of all possible input values (x - values) for which the function is defined.

Step2: Analyze the Function \( h(x)=4 - 2x^{3} \)

This is a polynomial function (a cubic polynomial, since the highest power of \( x \) is 3). Polynomial functions are defined for all real numbers because there are no restrictions like division by zero or square roots of negative numbers here. So, the input \( x \) can be any real number.

Answer:

A. \( x \) is all real numbers