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: x^(2)-3x-28=0
Step-by-step explanation:
Answer:
200
Step-by-step explanation:
100+
100
-----
200
Answer:
Step-by-step explanation:
5 * 5 * 5 * 5
= 625
9514 1404 393
Answer:
7%
Step-by-step explanation:
Let x represent the percentage of water in the mix. The amount of water in the mix is ...
5%·120 +10%·80 = x·(120 +80)
14/200 = x = 7% . . . . . . . . . . . . . . simplify, divide by 200
The percentage of water in the mixture is 7%.