Y<-8 because the number y is no less
[[x]] means to round down to the greatest integer less than or equal to x.
I believe the answer is range
Their common factors are :1, 2 ,5 ,10
Answer:
To find f-¹(x) of f(x) equate f(x) to y
That's
f(x) = y
So we have
![y = \frac{4x - 7}{10}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B4x%20-%207%7D%7B10%7D%20)
Next interchange the variables that's x becomes y and y becomes x
That's
![x = \frac{4y - 7}{10}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B4y%20-%207%7D%7B10%7D%20)
Next make y the subject
Cross multiply
We have
4y - 7 = 10x
Move -7 to the right side of the equation
4y = 10x + 7
Divide both sides by 4
We have the final answer as
![y = \frac{10x + 7}{4}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B10x%20%2B%207%7D%7B4%7D%20)
So
![f ^{ - 1} (x) = \frac{10x + 7}{4}](https://tex.z-dn.net/?f=f%20%5E%7B%20-%201%7D%20%28x%29%20%3D%20%20%5Cfrac%7B10x%20%2B%207%7D%7B4%7D%20)
Hope this helps you