Step 1:

The function is . \ \

The  function is in the form of quadratic function .

The domain of quadratic function defined for every value x.

The function has no undefined points nor domain constraints.

Therefore, The function is continuous over real numbers.

Solution:

The function is continuous for all values of .

(2)

Step 1:

The function is . \ \

The domain of a function is all values of  , those makes the function mathematically correct.

Denominator of the function should not be the zero.

So, .

The function   is discontinuous at .

Step 2:

The function .

Cancel common terms.

.

The discontinuity at is removable.

Solution:

The function   is discontinuous at .

Removable discontinuity is at .