(d) Sketch the graph of f¹osec. Make sure to label your axes and that you have the correct dom

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.1: The Graphing Method
Problem 21WE
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Please answer part D of this homework practice question. Thank you. For Part A, I and my friends got D: (inf,-1]U[1,inf]; R: [0,pi/2)U[pi,3pi/2). For Part B, we got f^(-1) (sec5) =2pi-5; sec (f(-1)(5)) = 5. I hope this helps in answering Part D.

1. We restrict the function secz on [0, π/2) U[, 3/2) to get an one-to-one function. We call it f(2). We
define the inverse of this function to be f-¹(r).
(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(f-¹(5)). No need to justify your answer to this part.
Final Answer
Final Answer
ƒ-¹(sec 5) =
sec(ƒ-¹(5)) =
(c) Sketch the graph of secof-1. Make sure to label your axes and that you have the correct domain.
Transcribed Image Text:1. We restrict the function secz on [0, π/2) U[, 3/2) to get an one-to-one function. We call it f(2). We define the inverse of this function to be f-¹(r). (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(f-¹(5)). No need to justify your answer to this part. Final Answer Final Answer ƒ-¹(sec 5) = sec(ƒ-¹(5)) = (c) Sketch the graph of secof-1. Make sure to label your axes and that you have the correct domain.
(d) Sketch the graph of f¹osec. Make sure to label your axes and that you have the correct domain.
Transcribed Image Text:(d) Sketch the graph of f¹osec. Make sure to label your axes and that you have the correct domain.
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