Question

Let g : R→R be a differentiable function with g(0) = 0, g’(0) = 0 and g’(1) ≠  0.   

and h (x) e^|x| for all x ∈ R.Let (foh) (x) denote f(h(x)) 0, x=0 (hof)(x) denote h(f(x)). Then which of the following is (are) true?

(a) f is differentiable at x = 0

(b) h is differentiable at x = 0

(c) foh is differentiable at x = 0

(d) hof is differentiable at x = 0

Answer 1

The correct answer is (A, D)