We will conclude that:
- The domain of the exponential function is equal to the range of the logarithmic function.
- The domain of the logarithmic function is equal to the range of the exponential function.
<h3>
Comparing the domains and ranges.</h3>
Let's study the two functions.
The exponential function is given by:
f(x) = A*e^x
You can input any value of x in that function, so the domain is the set of all real numbers. And the value of x can't change the sign of the function, so, for example, if A is positive, the range will be:
y > 0.
For the logarithmic function we have:
g(x) = A*ln(x).
As you may know, only positive values can be used as arguments for the logarithmic function, while we know that:

So the range of the logarithmic function is the set of all real numbers.
<h3>So what we can conclude?</h3>
- The domain of the exponential function is equal to the range of the logarithmic function.
- The domain of the logarithmic function is equal to the range of the exponential function.
If you want to learn more about domains and ranges, you can read:
brainly.com/question/10197594
Step-by-step explanation:
simplify the expression into like terms
so 5a-2b-3+2b-6a (add all a and b together)
this will make
-a-3
I know how to do the equivalent sorry :(
Answer:
3/8
Step-by-step explanation:
1/4 is equal to 2/8.
2/8 + 1/8 = 3/8
I would appreciate brainliest but if not that's ok!
Answer:

Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation 
In this problem, we have that:

So

Answer:
[in picture]
Step-by-step explanation:
I didn't see any options, so I used Desmos, which is a graphing calculator. I entered the equation in and it came up with this: