Explanation Given Information: In the above question we are given a function f ( x ) = cos ( π 2 − x ) , o n [ 0 , π 2 ] Calculation: It is provided a function f ( x ) = cos ( π 2 − x ) , o n [ 0 , π 2 ] as if we look at any value of the input such as one then the function has exactly one y − c o o r d i n a t e when x = 1 ; that is the graph passes the vertical line test which means for every input there is only one output ; the graph of the given function is given by: To check whether the given function has an inverse then the graph of the function should be one-to-one For this use horizontal line test , in order to use horizontal line let’s just use the line y = 1

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 1, Problem 39SP

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To find: f−1 using horizontal line test and sketch the graph of f−1 if it exists.

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Chapter 1, Problem 38SP

Chapter 1, Problem 40SP

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Chapter 1 Solutions

Calculus

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f − 1 using horizontal line test and sketch the graph of f − 1 if it exists.

Solution Summary: The author explains how to find f-1 using horizontal line test and sketch the graph of the function if it exists.

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To find: f−1 using horizontal line test and sketch the graph of f−1 if it exists.

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Chapter 1 Solutions