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
Answer:
48.75$
Step-by-step explanation:
Since the original price is 65$ and you are getting 25% off, you would now be paying 75% of the original price.
65*75%=48.75
_______________________________________________________
You could also take the amount of discount you're getting...
65*25%
and then subtract the amount of discount your getting from the original price
65-(65*25%) = 48.75
Answer:
Step-by-step explanation:
X/-5+3=-2
Collecting like terms
x/-5 = -2 - 3
x/-5 = -5
Multiply each term by -5
-5(x/-5) = -5(-5)
x = 25