Answer:
![f ^{-1} (8) = \frac{3}{2}](https://tex.z-dn.net/?f=f%20%5E%7B-1%7D%20%288%29%20%3D%20%5Cfrac%7B3%7D%7B2%7D)
Step-by-step explanation:
We know the function ![f(x)](https://tex.z-dn.net/?f=f%28x%29)
![f (x) = 2x +5](https://tex.z-dn.net/?f=f%20%28x%29%20%3D%202x%20%2B5)
We want to find
![f ^{-1} (8)](https://tex.z-dn.net/?f=f%20%5E%7B-1%7D%20%288%29)
Remember that if we have a function
and its inverse
, then the domain of the function
will be the range of the function
.
This means that to find
we must look for:
![f (x) = 2x +5 = 8](https://tex.z-dn.net/?f=f%20%28x%29%20%3D%202x%20%2B5%20%3D%208)
We solve the equation for x.
![2x + 5 = 8\\\\2x = 8-5\\\\2x = 3\\\\x = \frac{3}{2}](https://tex.z-dn.net/?f=2x%20%2B%205%20%3D%208%5C%5C%5C%5C2x%20%3D%208-5%5C%5C%5C%5C2x%20%3D%203%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B3%7D%7B2%7D)
So:
![f ^{-1} (8) = \frac{3}{2}](https://tex.z-dn.net/?f=f%20%5E%7B-1%7D%20%288%29%20%3D%20%5Cfrac%7B3%7D%7B2%7D)
Answer:
-6
Step-by-step explanation:
Answer: The answer is A. It is located at -25 and is to the right of point A on the number line.
Step-by-step explanation:
On a number line, the number ZERO is in the middle. The positive numbers increase to the right meanwhile the negative numbers increase to the left.