On the interval $(0,15),$ locate the points where the function $f$ has discontinuities. For each discontinuity, indicate which continuity conditions are not met.

Determine the intervals of continuity for the function $g\left(x\right)=\frac{4x}{x^3-49x}$.

Identify the left-continuous function.

Analyze the graph of the function $j\left(x\right)$ to find the $x$-value in the interval $(0,6)$ at which $j$ is not continuous.