Name: Date: School: Facilitator: 3.01 Inverse Functions 1. Find the inverse of f(x) = 2x2 - 3. Explain each step and verify that it is an inverse. Inverse of f(x) - Step Explanation Verify that it is an inverse. Find f(f-1(x)). Show your work step by step. 2. Find the inverse of f ( x) Find f-1(f(x)) . Show your work step by step. x 3 6 . Explain each step and verify that it is an inverse. Inverse of f(x) - Step Explanation Verify that it is an inverse. Find f(f-1(x)). Show your work step by step. Find f-1(f(x)) . Show your work step by step. 3. Graph f(x) = 4x2 + 2 and f-1(x) = x 2 4 . Use a stylus or the curve tools provided. Use the blue curve for the original and the black curve for the inverse. Alg2T-03-01-04 4. Graph f(x)= x 1 3 and its inverse f-1(x) = (x + 3)2 + 1. Use a stylus or the curve tools provided. Use the blue curve for the original and the black curve for the inverse. 5. Create the graph of the inverse of a quadratic equation that has been translated one right, 4 down, and then flipped over the x axis. Then create its equation from the graph. Use a stylus or the curve tools provided. Use the blue curve for the original and the black curve for the inverse. 6. Create the graph of the inverse of a square root equation that has been translated 2 left and 3 up. Then create its equation from the graph. Use a stylus or the curve tools provided. Use the blue curve for the original and the black curve for the inverse