Ontario Virtual School MHF4U Test #4: Chapter 8 Name: Date: Part A: Multiple Choice [Knowledge: 20 marks] Please write your answers in the table below: 1. 2. 3. 4 . 5. 6. 7. 8. 9 10. 11. 12. 13. 14. 15. 1. Given f(x) = 2x + 3 and g(x) = x3 - 1, what is (f " g)(x)? A. 2x24 5x + 2 C. 2x1 4x + 3 B. x2 + 2x + 3 D. 2x2 + 1 2. Iff(x) = 3x - 2 and g(x) = 2x + 5, what is the value of (f + g)(4)? A. 20 C. 21 B. 22 D. 23 3. Given h(x) = x2 - 3x and k(x) = 4x + 1, find (h - k)(3). A. -8 C. -4 B. -7 D. -13 4. What is the inverse of the function f(x) = 4x + 7? A. f(x) = (x - 7)/4 C. F(x) = (x +7)/4 B. f- (x) = 4x - 7 D. f (x) = (x - 4)/7 5. Given f(x) = (x| and g(x) = x3, what is (f * g)(x)? A. |x]] C. x2 B. [x/ D. x 6. What is the composition of the functions f(x) = 3x3 and g(x) = =?? A. f(g(x)) = 3-/? C. g(f(x)) = 3x B. fig(x)) =1/372 D. g(f(x)) =1372 7. Ifh(x) = 2x + 5 and k(x) = x3, what is (h " k)(x)? A. 2x3 + 5 C. 2x3 + 10 B. 2x3 + 15 D. x3 + 5 8. What is the composition of the functions f(x) = 2x and g(x) = x3 + 1? A. fig(x)) = 2x3 + 2 C. g(f(x)) = 2x + 1 B. fig(x)) = 2x2 D. g(f(x)) = x2 + 2 9. Given f(x) = ex and g(x) = In(x), what is (g . D)(x)? A. In(ex) C. exp B. In(xe) D. exlnan