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6.6 Practice WS Algebra IIB Name: ___________ Date: ___________ Use the horizontal line test to determine whether the inverse of each relation is a function. 1. 2. Find the inverse of each function. State whether the inverse is a function. 3. f (x) = 2x – 6 a. Substitute y for f (x). ________________________________ b. Switch x and y. ________________________________ c. Solve for y. This is the inverse. ________________________________ d. Is the inverse a function? ________________________________ 4.g(x) = x + 9 6. p(x) = x2 + 1 5. h x x 1 2 7. b x x 7 Determine by composition whether each pair of functions are inverses. 8. g x x 4 and r(x) = x2 +4 9. s x 3 x 1 and t x 1 x 3 Old Skills: 10) Padma rented a bike for x hours and a kayak for y hours while she was on vacation. a. She rented the bike and kayak for a total of 7 hours. Write an equation to represent the solution. b. The bike cost $6 an hour and the kayak cost $10 an hour. Padma spent a total of $60 for the bike and kayak rentals. Write an equation to represent the solution. c. How many hours did Padma rent the kayak? Show or explain your work. Graph each function. 4 if x 2 11. f x 1 x if 2 x 2 18 x if x 5 12. g x 2 x 3 if x>5