. (10 points) Let f(x) = 2x 3 5x 9 . (a) What is the domain of f(x)? (b) Show that f(x) is 1 1 on its domain. (c) Find f 1 (x), the inverse of f(x) and hence find the range of f(x). MATH 1056B-W20 TEST # 2 - VERSION 1 3 3. (a) (4 points) Let f(x) = (x + 1)3 (x 2 9)5 (x 2 8x + 17). Fill in the following table with the zeroes of f(x), real and complex, their multiplicities and the degree of f(x). zero of f(x) multiplicity degree of f(x) (b) (1 point) In a group of 51 students, 42 take a math course and 33 take a cosc course. How many take both? (c) (2 points) For each pair of functions below, indicate the one that grows faster as x + or as n + by drawing a circle around it. i) n 3 ln( n) or n 2 (3n + 1) ii) 9x/3 or 2x (d) (3 points) Evaluate the following: b + 1c = d 1e = b1 c