The Equation Of Continuity

Step 1: Understanding the function.
The function given is: This is a rational function, and it will be continuous wherever the denominator is not equal to zero.
Step 2: Checking for discontinuities.
The denominator is never zero for real values of . The quadratic expression has no real roots, so the function is continuous for all real values of .
Step 3: Conclusion.
The only point where the function could potentially be undefined is for complex values of , but the function is continuous everywhere except at for real values. Hence, the correct answer is .