7. Consider the function g(x) = 4 cos x + 1, a < x <÷where a < a. For a = -, sketch the graph of y = g(x). Indicate clearly the maximum and minimum values of the function. 2en,0 here test value of psuch the ine y b. Write down the least value of a such that g has an inverse. c. For the value of a found in part (b), write down the domain of g-1. d. For the value of a found in part (b), find an expression for g-1(x). [

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 17EQ
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7. Consider the function g(x) = 4 cos x + 1, a < x <÷where a <
a. For a = -, sketch the graph of y = g(x). Indicate clearly the maximum and minimum
values of the function.
khere
test value of p such
Iney
b. Write down the least value of a such that g has an inverse.
c. For the value of a found in part (b), write down the domain of g-1.
d. For the value of a found in part (b), find an expression for g-1(x). [
tten in te form
Transcribed Image Text:7. Consider the function g(x) = 4 cos x + 1, a < x <÷where a < a. For a = -, sketch the graph of y = g(x). Indicate clearly the maximum and minimum values of the function. khere test value of p such Iney b. Write down the least value of a such that g has an inverse. c. For the value of a found in part (b), write down the domain of g-1. d. For the value of a found in part (b), find an expression for g-1(x). [ tten in te form
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