For this case we have the following functions:
![f (x) = e ^ x\\g (x) = x-2](https://tex.z-dn.net/?f=f%20%28x%29%20%3D%20e%20%5E%20x%5C%5Cg%20%28x%29%20%3D%20x-2)
By definition we have to:
![(f * g) (x) = f (x) * g (x)](https://tex.z-dn.net/?f=%28f%20%2A%20g%29%20%28x%29%20%3D%20f%20%28x%29%20%2A%20g%20%28x%29)
Substituting:
![(f * g) (x) = e ^ x (x-2)](https://tex.z-dn.net/?f=%28f%20%2A%20g%29%20%28x%29%20%3D%20e%20%5E%20x%20%28x-2%29)
The range of the function is given by all values of "and" valid. That is, all the real numbers.
ANswer:
(-∞,∞)
Graphic attached
Answer:
the answer is A).
Step-by-step explanationfirst you must add to the $ 38,000 the $ 5,000 which is the 1,000 dollars that were going to be added to your salary each year, then you must divide $ 43,000 by 4 to know the amount of dollars you must pay:
Here is a image attached demonstrating the steps followed to obtain answer. Hope this helps
The contrapositive of the statement
![p\implies q](https://tex.z-dn.net/?f=p%5Cimplies%20q)
is
![\neg q\implies \neg p](https://tex.z-dn.net/?f=%5Cneg%20q%5Cimplies%20%5Cneg%20p)
.
So the contrapositive for this statement would be, "If a number is NOT divisible by 10, then it does NOT end with 0". ("not" capitalized for emphasis)
1. 45 mi
2. I think its 36
3. is B i think