Let be continuous at and let be continuous at

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

g

be continuous at

x=2

and let

f

be continuous at

u=g(2)

. What can you conclude about the continuity of the composite function

h(x)=f(g(x))

x=2

? Give a brief statement.