Answer: The function that are undefined for (x=0) is and and this can be determined by putting (x=0) in all the given expressions.
Given :
Function 1 -
Function 2 -
Function 3 -
Function 4 -
Evaluate each function at (x = 0) to determine which function is undefined for (x = 0).
Function 1 -
put (x = 0) in above function:
Therefore, it can be concluded that the above function is not defined for (x=0).
Function 2 -
put (x = 0) in above function:
Therefore, it can be concluded that the above function is not defined for (x=0).
Function 3 -
put (x = 0) in above function:
Therefore, it can be concluded that the above function is defined for (x=0).
Function 4 -
put (x = 0) in above function:
Therefore, it can be concluded that the above function is defined for (x=0).