Answer:
The inequalities that must be satisfied is
Step-by-step explanation:
Let the number of Heineken bottles be x
Let the number of monster drink bottles be y
Her crate cannot hold more than 32, This situation can be represented as
That is
------------------------(1)
Cost of one Heineken bottles = $800
Cost of one monster drink bottles = $250
then
x
------------------(2)
Answer:
Given functions,
Since, by the compositions of functions,
1. (g◦f)(x) = g(f(x))
Since, (g◦f) is defined,
If 3 - x² ≥ 0
⇒ 3 ≥ x²
⇒ -√3 ≤ x ≤ √3
Thus, Domain = [-√3, √3]
2. (f◦g)(x) = f(g(x))
Since, (g◦f) is defined,
If x ≥ 0
Thus, Domain = [0, ∞)
3. (f◦f)(x) = f(f(x))
Since, (f◦f) is a polynomial,
We know that,
A polynomial is defined for all real value of x,
Thus, Domain = (-∞, ∞)