Answer: ]1, 2[
Step-by-step explanation:
![A \cap B=[0; 2[\\\\(A \cap B)-C=]1, 2[](https://tex.z-dn.net/?f=A%20%5Ccap%20B%3D%5B0%3B%202%5B%5C%5C%5C%5C%28A%20%5Ccap%20B%29-C%3D%5D1%2C%202%5B)
The value of the derivative of the function g(x) at x = 1 will be 1/3. Then the correct option is A.
<h3>What is an inverse function?</h3>
A function that may convert into another function is known as an inverse function or anti-function.
If the function is f(x) = sinx + 2x + 1.
Then the derivative of an inverse function g(x) of a function f(x) at a given value (a) will be
![\rm g'(a) = \dfrac{1}{f'(g(a))}](https://tex.z-dn.net/?f=%5Crm%20g%27%28a%29%20%3D%20%5Cdfrac%7B1%7D%7Bf%27%28g%28a%29%29%7D)
The derivative of f(x) will be
f'(x) = cos x + 2
Then the given value of a will be
a = 1
g(x) = f⁻¹(x)
put x = 0, then we have
f(0) = sin 0 + 2(0) + 1
f(0) = 1
Put x = 1, in the function f⁻¹(x). Then we have
f⁻¹(1) = 0
and
g(1) = 0
Then put a = 1, then we have
![\rm g'(a) = \dfrac{1}{f'(g(a))}\\\\g'(1) = \dfrac{1}{f'(g(1))}\\\\g'(1) = \dfrac{1}{f'(0)}\\\\g'(1) = \dfrac{1}{\cos 0 + 2}\\\\g'(1) = \dfrac{1}{1+2}= \dfrac{1}{3}](https://tex.z-dn.net/?f=%5Crm%20g%27%28a%29%20%3D%20%5Cdfrac%7B1%7D%7Bf%27%28g%28a%29%29%7D%5C%5C%5C%5Cg%27%281%29%20%3D%20%5Cdfrac%7B1%7D%7Bf%27%28g%281%29%29%7D%5C%5C%5C%5Cg%27%281%29%20%3D%20%5Cdfrac%7B1%7D%7Bf%27%280%29%7D%5C%5C%5C%5Cg%27%281%29%20%3D%20%5Cdfrac%7B1%7D%7B%5Ccos%200%20%2B%202%7D%5C%5C%5C%5Cg%27%281%29%20%3D%20%5Cdfrac%7B1%7D%7B1%2B2%7D%3D%20%5Cdfrac%7B1%7D%7B3%7D)
More about the inverse function link is given below.
brainly.com/question/2541698
#SPJ4
Hola!
-6 (3x - 5)
[ simplifying. ]
-18x + 30
hope it helps!
Answer:
A. The ball returns to the ground 2 seconds after it was kicked.
Step-by-step explanation:
Simplify the following:
(6^5/7^3)^2
7^3 = 7×7^2:
(6^5/(7×7^2))^2
7^2 = 49:
(6^5/(7×49))^2
7×49 = 343:
(6^5/343)^2
6^5 = 6×6^4 = 6 (6^2)^2:
((6 (6^2)^2)/343)^2
6^2 = 36:
((6×36^2)/343)^2
| | 3 | 6
× | | 3 | 6
| 2 | 1 | 6
1 | 0 | 8 | 0
1 | 2 | 9 | 6:
((6×1296)/343)^2
6×1296 = 7776:
(7776/343)^2
(7776/343)^2 = 7776^2/343^2:
7776^2/343^2
| | | | 7 | 7 | 7 | 6
× | | | | 7 | 7 | 7 | 6
| | | 4 | 6 | 6 | 5 | 6
| | 5 | 4 | 4 | 3 | 2 | 0
| 5 | 4 | 4 | 3 | 2 | 0 | 0
5 | 4 | 4 | 3 | 2 | 0 | 0 | 0
6 | 0 | 4 | 6 | 6 | 1 | 7 | 6:
60466176/343^2
| | | 3 | 4 | 3
× | | | 3 | 4 | 3
| | 1 | 0 | 2 | 9
| 1 | 3 | 7 | 2 | 0
1 | 0 | 2 | 9 | 0 | 0
1 | 1 | 7 | 6 | 4 | 9:
Answer: 60466176/117649