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 = (-∞, ∞)
increase in x results in the decrease in y
Answer:
No
Step-by-step explanation:
In order for it to be a function, every input (x values on the left) needs to be paired with only 1 output (y values on the right). Notice that 1 is paired with both 2 and 4. This means it is not a function, but it is paired with two different values.
Answer:
(2x-3)(x+3)
Step-by-step explanation:
The factors of the expression are (2x-3) and (x+3).
Answer:
2 cm by 5 cm
Step-by-step explanation:
2 cm by 5 cm are the dimensions of the poster at one-half its current size
