What are clouds circling the “eye” called
1 answer:
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Answer: ( 12 , 9 )
Step-by-step explanation:
The formula for finding the coordinate of points when a line is externally divided in a given ratio is given by :
x =
y =
From the question
= 2
= ?
x = 4
= -1
= ?
y = 1
p = 1
q = 4
substituting the values into the formula ,we have
x =
4 =
4 =
+ 8 = 20
= 12
Also
y =
1 =
- 4 = 5
= 9
Therefore , the end of the stencil is located at point ( 12 , 9 )
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: