Question

What is the domain of the function y = 558/x based on the physical constraints of the problem?

a) All real numbers except x = 0
b) All real numbers
c) Only positive real numbers
d) Only negative real numbers

Answer 1

The domain of the function y = 558/x is all real numbers except x = 0, due to the undefined result of division by zero. The correct option is a.

Step-by-step explanation:

The domain of the function y = 558/x is influenced by the physical constraints outlined in the problem. Since division by zero is undefined, x = 0 cannot be included in the domain. Consequently, the correct choice is a) All real numbers except x = 0.

This is because for all other real numbers, the function will yield a defined value for y. This aligns with the concept of asymptotes, where the function approaches infinity as x approaches zero, which is a common characteristic of rational functions such as y = 1/x. The correct option is a.