Name: Date: School: Facilitator: Inverse Functions 1. Given the functions f(x) = x2 5 and , verify by composition that they are inverses of each other. In – other words, show that f(g(x)) = x and g(f(x))=x. You must show all work for credit. 2. Find the inverse of 3. Find the inverse of 4. Find the inverse of 5. Use the Horizontal Line Test to determine if the following function is one-to-one. Is it one to one (yes or no) 6. Use the Horizontal Line Test to determine if the following function is one-to-one. Is it one to one (yes or no) = 4x 2, 2, f(x) x² x 7. Given the function – – ≥ fill out the chart and then graph the inverse. x 2 3 4 5 6 f(x)
Name: Date: School: Facilitator: Inverse Functions 1. Given the functions f(x) = x2 – 5 and , verify by composition that they are inverses of each other. In other words, show that f(g(x)) = x and g(f(x))=x. You must show all work for credit. 2. Find the inverse of 3. Find the inverse of 4. Find the inverse of 5. Use the Horizontal Line Test to determine if the following function is one-to-one. Is it one to one (yes or no) 6. Use the Horizontal Line Test to determine if the following function is one-to-one. Is it one to one (yes or no) 7. Given the function f(x) = x² – 4x – 2, x ≥ 2, fill out the chart and then graph the inverse. x 2 3 4 5 6 f(x)
01-10-assignment.docx