Answer:
![{g}^{ - 1} (x) = - \frac{5}{2} x - 5](https://tex.z-dn.net/?f=%7Bg%7D%5E%7B%20-%201%7D%20%28x%29%20%3D%20%20-%20%20%5Cfrac%7B5%7D%7B2%7D%20x%20%20-%20%205)
Step-by-step explanation:
We want to find the inverse of
![g(x) = - \frac{2}{5}x - 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20-%20%20%5Cfrac%7B2%7D%7B5%7Dx%20-%202)
Let
![y= - \frac{2}{5}x - 2](https://tex.z-dn.net/?f=y%3D%20%20-%20%20%5Cfrac%7B2%7D%7B5%7Dx%20-%202)
We interchange x and y to get:
![x= - \frac{2}{5}y - 2](https://tex.z-dn.net/?f=x%3D%20%20-%20%20%5Cfrac%7B2%7D%7B5%7Dy%20-%202)
We now solve for y to obtain:
![x + 2=-\frac{2}{5}y](https://tex.z-dn.net/?f=x%20%2B%202%3D-%5Cfrac%7B2%7D%7B5%7Dy%20)
![5x = - 2y - 10](https://tex.z-dn.net/?f=5x%20%3D%20%20-%202y%20-%2010)
Add 10 to both sides to get:
![5x + 10 = - 2y](https://tex.z-dn.net/?f=5x%20%2B%2010%20%3D%20%20-%202y)
Divide through by -2
![y = - \frac{5}{2} x - 5](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B5%7D%7B2%7D%20x%20%20-%20%205)
Therefore
![{g}^{ - 1} (x) = - \frac{5}{2} x - 5](https://tex.z-dn.net/?f=%20%7Bg%7D%5E%7B%20-%201%7D%20%28x%29%20%3D%20%20-%20%20%5Cfrac%7B5%7D%7B2%7D%20x%20%20-%20%205)
Answer:
£2121.8
Step-by-step explanation:
2000 X 1.03 X 1.03 = 2121.8
Check the picture below.
a) is asking what is the initial height, and that occurs right before the balloon is shot up, at 0 seconds, namely at x = 0.
No, because both can be divided by two. in simplist form it is 3 1/9