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
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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