Explain why f(x) =√2+x - √2/x, is not continuous at x = 0.
picture provided below.

Choice A is correct. function is not defined at x = 0.

Step-by-step explanation:

We have given function:

f(x) = (√2+x - √2)/x

We have to explain that f(x) is not continuous at x = 0.

The domain is the values of x for which the function is difined.

So, at x=0 function is not defined.

Because x is in the denominator of function so when we put x=0 the function has no value.

f(x) = (√2+x - √2)/x  is not continuous at x = 0.

Choice A is correct.

A

Step-by-step explanation:

If you put 0 in for x, then you would be dividing by 0. Dividing by 0 is always undefined.