What is g(0) for g(x) = 1/x?

• A. 0
• B. 1
• C. NaN
• D. Undefined

Answer: (D)

Dividing by zero isn’t defined in mathematics, so evaluating g at 0 would require calculating 1/0, which has no value. The function g(x) = 1/x is not defined at x = 0, and its domain excludes zero. Therefore g(0) does not exist, so it is undefined. The other options don’t fit because they would imply a finite value at x = 0, or a programming-specific notion that isn’t the standard mathematical answer. In a graph of this function, you’d see a vertical asymptote at x = 0, showing the value grows without bound rather than settling on a number.