Examine the equations given in problems 1–4, and show that the functions f(x) = cos(x) and g(x) = tan(x) are not
linear transformations by demonstrating that they do not satisfy the conditions indicated for al real numbers. then, find
values of x and/or y for which the statement holds true.
1. cos(x + y) = cos(x) + cos(y)
2. cos(2x) = 2 cos(x)
3. tan(x + y) = tan(x) + tan(y) 4. tan(2x) = 2 tan(x)

Three consecutive even numbers have a sum between 84 and 96. a. write an inequality to find the three numbers. let n represent the smallest even number. b. solve the inequality. a. 84 ≤ n + (n + 2) + (n + 4) ≤ 96 b. 78 ≤ n ≤ 90 a. 84 < n + (n + 2) + (n + 4) < 96 b. 26 < n < 30 a. 84 < n + (n + 1) + (n + 2) < 96 b. 27 < n < 31 a. n + (n + 2) + (n + 4) < –84 or n + (n + 2) + (n + 4) > 96 b. n < –30 or n > 31