Question

How do you find the x values at which `f(x)=cos((pix)/2)` is not continuous, which of the discontinuities are removable?

Answer 1

The function is continuous everywhere.

Explanation:

The function `g(x) = (pix)/2` is linear. It is continuous at every `x`.

The cosine function is continuous everywhere.

The composition of continuous functions is continuous.

`f` is the composition of `cos(x)` with `(pix)/2`, so `f` is continuous everywhere.