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: 6
Explanation:
3(4-2) = 3(2) = 6
Answer:
The pair (0,3) is not a solution to the equation
Step-by-step explanation:
This can be proved by simply replacing the x and y variables in the equation by the x and y values of the pair, and checking if the equation renders a true statement:
By replacing x and y with their values in the pair (0,3), that is x=0 and y=3, in the equation y = 5 - 2x we get:
3 = 5 - 2 (0)
3 = 5 - 0
3 = 5
which is NOT a true statement.
On the other hand, the other two pairs (2,1) and (1,3) render true statements:
1 = 5 - 2 (2)
1 = 5 - 4
1 = 1
and
3 = 5 - 2 (1)
3 = 5 - 2
3 = 3
Answer:
2
Step-by-step explanation:
1. go to desmos Graphing calculator and select graphing calculator
2. Next type in the word length then it should look like this Length
3. Don't space just put this ( and type in the point it should look like this Length(-2,-3),(4,4)
4. Be sure to do double () it should look like this Length((-2,-3),(4,4))
5. It should give you your answer
Answer:
-9x + 13
Step-by-step explanation:
9 -3x +(-6x) +4
you will add -3x+(-6x), then add 9+4
-3x+(-6x) = -9x (a negative pus and negative = a negative
9 +4 = 13
-9x + 13
