Please give me the answer What is the value of the expression
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Keep:![-30 + 194 [/tex] because that'll give you: [tex]164](https://tex.z-dn.net/?f=-30%20%2B%20194%20%5B%2Ftex%3Cstrong%3E%5D%20because%20that%27ll%20give%20you%3A%3C%2Fstrong%3E%20%5Btex%5D164%20)
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In order to find out the answer to this question, we can distribute
Flip your problem around!
Add by
Like:
Cancel out:
Keep:
Your problem becomes:
Now, we have to divide by
Like:
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Keep:
Good luck on your assignment and enjoy your day!
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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: