What is the difference between domain of x/x and 1?

Question

if f(x) = x/x and g(x) = 1, then f(x) = g(x). But why is the domain of f(x) is all non-zero all real number and g(x) is all real number?

Answer 1

The domain represents the possible values that x can be. In mathematics, you cannot divide by zero. If you plug in 0 to f(x), you will be dividing by zero.

f(0) = 0/0

f(x) = g(x) for all values of x except 0.

Therefore, the difference between the domain of x/x and 1 is that 1 is all real numbers, and x/x is all nonzero real numbers.