1. We restrict the function secz on [0, π/2) U[T, 3π/2) to get an one-to-one function. We call it f(x). We define the inverse of this function to be f-¹(x). (a)

Find the domain and range of f-¹. No need to justify your answer to this part. Final Answer Final Answer Domain: Range: (b) Compute f-¹(sec 5) and sec(f¹(5)). No need to justify your answer to this part. Final Answer Final Answer f-¹(sec 5) = sec(f-¹(5)) = (c) Sketch the graph of sec of-¹. Make sure to label your axes and that you have the correct domain./n(d) Sketch the graph of f¹osec. Make sure to label your axes and that you have the correct domain./n(e) Find a formula for the derivative of f-¹.