√
160
simplifies to 4
√
10
.
Answer:
Option D.
Step-by-step explanation:
To find the inversion of a function follow the following procedure
1) Replace x with y in the function and clear y
------> ![x = 2^{(y)}+ 6](https://tex.z-dn.net/?f=x%20%3D%202%5E%7B%28y%29%7D%2B%206)
![x-6 = 2^y](https://tex.z-dn.net/?f=x-6%20%3D%202%5Ey)
![y = log_2(x-6)](https://tex.z-dn.net/?f=y%20%3D%20log_2%28x-6%29)
2) Check. The range of f(x) is the domain of
.
So if f(a) = b, this means that
= a.
![f(2) = 2^2+ 6 = 10](https://tex.z-dn.net/?f=f%282%29%20%3D%202%5E2%2B%206%20%3D%2010)
![f^{-1}(x) = log_2(10-6) = 2](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20log_2%2810-6%29%20%3D%202)
Is fulfilled. Therefore
is the inverse of ![f(x) = 2^{(x)} +6](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%5E%7B%28x%29%7D%20%2B6)
Answer:
the answer is negative 11.55
Step-by-step explanation:
-2.4+-5.3=-7.7.
7.7(1.5)=-11.55