Question

Determine whether f is continuous at c.

Answer 1

Step 1:

The function is , and .

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

The denominator of the function should not be zero.

The domain of function is all real numbers except 6.

The domain of function is .

is in the domain.

The function is continuous every number in its domain.

Step 2:

Find the limit at is .

.

Find .

Substitute in .

The function is continuous at if .

.

The function is continuous.

Solution:

The function is continuous.