If we have a two functions
$f:[-1/2, 2] \to \mathbb{R}$
$g: [-1/2,2] \to \mathbb{R}$
$f(x) = [x^2-3]$ where $[ \cdot ]$ denotes greatest integer
$g(x) = |x| f(x) + |4x-7| f(x)$
Now we have to comment on number of points where $f(x)$ is discontinuous and number of points where $g(x)$ is not differentiable.
I tried and got the result of points of discontinuity using graph, i.e. $4$ points.
But now I got stuck how to proceed. To find the points for non-differentiability.
My try is on :
