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:
15 ft.
Step-by-step explanation:
I will assume that either both objects are standing straight. We can use similar triangles.
We can see that the side 8 is similar to the side 20, since they are both shadows. Therefore, we can set up an equation:
we can cross multiply and get:
8x=120
solve for x:
x=15
Therefore, the lamppost must be 15 feet tall (unless it fell down but we won't talk about that)
Answer:
There are 8 one-quarter cubes and 16 unit cubes so (8 times one-fourth) + 16 will give the volume.
Step-by-step explanation:
Volume = 4 x 2 x 2 = 8x
=18
8 one-quarter cubes and 16 unit cubes = 8 x + 16 = 2+16 =18