Name: Date: School: Facilitator: 1.09 Combinations of Functions = = 4 f(x) x2 g(x) x and − Find the following the functions (f + g)(x) 1. (f g)(x) − 2. (fg)(x) 3. 4. f g 5. ◦ g f ◦ 6. (f = g)(x) h(x) ◦ 7. Find two functions f and g such that = (2x 3)2 h(x) – f(x) = g(x) = = 4 3x = 2x2 + 3 f(x) g(x) – For #8 through #10 use the functions and (f g)(4) − 8. 9. f)(2) ◦ 10. (g An oil tanker is leaking oil and we want to determine the area of the circular oil patch around the ship. It is known that the radius of the circular path is increasing at a rate of 6 feet per minute or r(t)= 6t. 11. Find a function for the area of the oil spill as a function of time. Remember, A = πr². 12. What is the radius after 2 hours in miles? Hint: Change hours to minutes. Then, remember there are 5280 feet in a mile. Let’s walk through this a little. Which function should you use?
Name: Date: School: Facilitator: 1.09 Combinations of Functions Find the following the functions f(x) = x2 and g(x) = 4 − x 1. (f + g)(x) 2. (f − g)(x) 3. (fg)(x) 4. 5. f ◦ g 6. g ◦ f 7. Find two functions f and g such that (f ◦ g)(x) = h(x) h(x) = (2x – 3)2 f(x) = g(x) = For #8 through #10 use the functions f(x) = 4 – 3x and g(x) = 2x2 + 3 8. (f − g)(4) 9. 10. (g ◦ f)(2) An oil tanker is leaking oil and we want to determine the area of the circular oil patch around the ship. It is known that the radius of the circular path is increasing at a rate of 6 feet per minute or r(t)= 6t. 11. Find a function for the area of the oil spill as a function of time. Remember, A = πr². 12. What is the radius after 2 hours in miles? Hint: Change hours to minutes. Then, remember there are 5280 feet in a mile. Let’s walk through this a little. Which function should you use?
01-09-assignment.docx