Let g(x, y) = cos(x + 2y). (a) Evaluate g(4, −2).   g(4, −2) = (b) Find the domain of g. −2 ≤ x ≤ 2, −1 ≤ y ≤ 1   2      −1 ≤ x + 2y ≤ 1 − ? 2 ≤ x + 2y ≤ ? 2

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 2E
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Let g(x, y) = cos(x + 2y).

(a) Evaluate

g(4, −2).

 

g(4, −2) =



(b) Find the domain of g.

−2 ≤ x ≤ 2, −1 ≤ y ≤ 1

 

2

    

−1 ≤ x + 2y ≤ 1

?
2

≤ x + 2y ≤

?
2

−1 ≤ x ≤ 1, −

1
2

≤ y ≤

1
2


(c) Find the range of g. (Enter your answer using interval notation.) 

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