Algebra study guide

College Algebra Name: Study Guide 24 Class: Due Date: Score: No Work ⇔ No Points Use Pencil Only ⇔ Be Neat & Organized 5 3 1. Given f (x) = x + 6 and g(x) = x − 10, find 5 3 (a) (3 points) (f ◦ g)(x) (a) (b) (3 points) (g ◦ f )(x) (b) (c) (1 point) What do you conclude about these two functions? (c) √ 2. (3 points) Find the inverse of f (x) = 5 x − 2. 2. 3. (3 points) Find the inverse of f (x) = x5 + 2. 3. Page 1 of 4 Study Guide 24 Total Points: 50 4 2x + 4 and g(x) = , find x−2 x (a) (3 points) (f ◦ g)(x) 4. Given f (x) = (a) (b) (3 points) (g ◦ f )(x) (b) (c) (1 point) What do you conclude about these two functions? (c) 5. (5 points) Graph the function f (x) = 3x + 2, its inverse f −1 (x), and then complete y the chart below. x Domain Range f (x) f −1 (x) Page 2 of 4 Study Guide 24 Total Points: 50 √ 6. (4 points) Find the inverse of f (x) = 4 −x − 2, and then complete the chart below. 6. Domain Range f (x) f −1 (x) x 1 7. (5 points) Graph the function f (x) = − 2, its inverse f −1 (x), and then com4 plete the chart below. y x Domain Range f (x) f −1 (x) Page 3 of 4 Study Guide 24 Total Points: 50 8. Solve: (a) (2 points) 52x−5 = 53 (a) (b) (3 points) 2 3x−5 = 128 (b) (c) (3 points) 9x+5 = 1 27 (c) (d) (4 points) 2 x2 −4x =4 2x−8 (e) (4 points) 3 x2 +5x =9 x+5 (d) (e) Page 4 of 4 Study Guide 24 Total Points: 50