1. The problem statement, all variables and given/known data See image. 2. Relevant equations 3. The attempt at a solution Here is the solution provided and the answer is B, but I disagree with this explanation. I agree that g(x)=1 and g(x)=e^(0)=1 makes a continuous function, however I don't see how one would ever be able to use x=0 in the function g(x)=e^x since only x values which are irrational can only be used in g(x)=e^x and x=0 is not an irrational number.