4 Let f(x) = el, g(x) = x" - 1 and h() = In(). Which of the following cannot be written as a composition of some or all of f(x), g(x) and h(x)? Select one alternative: O k(x) = e37 - 1 O k(x) = eln(23-1) O k(x) = x O k(x) = In(23) - 1Consider the following piecewise function: a + sin(x), for z 2 Which of the following values of a and b ensure that the above function is continuous for all i E R? Select one alternative: Oa = 1, b= 0.5 Oa =0, b=1 Oa =0, b= 0.5 Oa=1, b=16 Suppose the curve y = f() has a horizontal asymptote of y = a. Consider the following two statements about this curve. A. Either lim f (x) =0 or lim f(x) = a or both. I--00 I+ +00 B. The curve y = f(x) cannot pass through y = a. Which of these statements are true? Select one alternative: O A is true, B is false. O Both A and B are true. O A is false, B is true. O Both A and B are false.2 Consider the function f : [0, co) -> R, with the rule f(x). Which of the following would be a valid choice of the rule f(x)? Select one alternative: 5 O cos 12 +5 sin(x) O e (: ) O In(z) + 4