Suppose g is continuous at x=2 and f is continuous at g(2)=5. Let h(x)=f(g(x)). Which of the following statements is true concerning the continuity of h at x=2?
a) h is continuous at x=2 only if f is differentiable at 5.
b) There is not enough information to determine whether h is continuous at x=2.
c) h is continuous at x=2.
d) h is continuous at x=2 only if f is continuous at 2.