Which of the following functions is continuous for every value of x except x=0?

To determine which function is continuous for every value of $x$ except $x = 0$, we need to analyze each of the given functions (though they are not provided in your question).

1. A function is continuous at a point if the following three conditions are satisfied:

   • The function is defined at that point.
   • The limit of the function exists at that point.
   • The limit of the function equals the value of the function at that point.

2. We usually consider functions of the form:

   • Rational functions (where the denominator can become zero).
   • Piecewise functions (where the function definition changes across different intervals).
   • Certain trigonometric or logarithmic functions which have restrictions.

3. Without specific options provided, look for functions that:

   • Have a denominator that becomes zero at $x = 0$.
   • Such as $f(x) = \frac{1}{x}$, which is continuous for all $x \neq 0$.
   • Or functions that distinctly define behavior around $x = 0$ while remaining continuous elsewhere.

If you provide specific functions, I can further analyze and verify which one meets the criteria outlined above.