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:
60
Step-by-step explanation:
100 x 0.4 = 40 and that is the discount so you subtract that off the price so 100 - 40 = 60
Answer:
Step-by-step explanation:
125 % can be expressed as decimal as
Rule in changing Percent to decimal
a) Divide a percent by 100
b) Remove percent sign
example
30%
= 3/10
45 %
Answer:
A = 24
Step-by-step explanation:
We can see that the face of the given rectangular prism shows the width 4 and the height of 6. If we cut the figure at any point along the length 20, such that the cross section is parallel to the face, the cross section, which occurs at x length, will always have the same dimensions, that are 4 and 6.
So the area of the cross section which is parallel to the face of the given rectangular prism is given by:
A = 6 × 4
A = 24
Answer and Step-by-step explanation:
The answer is attached below
