Consider the function H(x) =cos(ex +5) . If we write H as a composition H(x) =f(g(x)) , what can f(x) and g(x) be? Of(x) =et and g(x) =cosx . Of(x) =x+5 and g(x) =cos(e]) . Of(x) =cos x and g(x) =ex +5. Of(a) = cos(x) +5 and g(x) =ex . O H cannot be written as a composition of two functions.Let G(x) = (2x+3)100 . What is G'(0) ? O 3100 O 200 - 3100 O 100 . 399 O 200 - 399 O G'(0) is undefined.Let f and g be two differentiable functions. Suppose we know that f(2)=5, f'(2)=-2, f(1) =-3, f'(1)=4, 9(1)=2, g'(1)=7, g(2) =-1 and g'(2) = -4. Find the value of (fog)' (1) . O -14 O 28 O -4 0 8 O None of the above