Question

Question #fd18b

Answer 1

The answer is B because a function is continuous at a point `a` if `lim_(x->a)f(x)=f(a)`. However, the problem specifies that at `x=4`, `f(x)` is only continuous from the right, so B is the only answer that works.

Answer 2

There is an error in the question.

Explanation:

As a real valued function of real numbers,
The function `f(x) = sqrt(x-4)` has domain `[4,oo)`.

`f` is not defined and therefore not continuous at `x=0` (from either side).

`f` is defined at `x=4` and is continuous from the right at `4` because of b. `lim_(xrarr4^+)f(x) = f(4)`