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 = (-∞, ∞)
Answer:
The total area between the squares is of 24 units squared.
Step-by-step explanation:
Area of a square:
The area of a square of side length l is given by:
Area between figures:
The area between two figures is the area of the larger figure subtracted by the area of the smaller figure.
Larger square:
Square with side of length 7. So
Smaller square:
Square with side of length 5. So
What is the total area between the squares?
The total area between the squares is of 24 units squared.