Question

discuss the continuity of the composite function h(x)=f(g(x))

f(x)=x^2
g(x)=x-1

Answer 1

In discussing the continuity of the composite, it is continuous throughout ,there are no holes which would cause discontinuity or a singularity. This leads to the limit existing. and the range is all reals. Umm, I hope that answers your question.