Answer:
![f^{-1}(x)=\frac{x+1}{6}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Cfrac%7Bx%2B1%7D%7B6%7D)
Step-by-step explanation:
So we have the function:
![f(x)=6x-1](https://tex.z-dn.net/?f=f%28x%29%3D6x-1)
To find the inverse function, switch x and f(x), change f(x) to f⁻¹(x), and solve for f⁻¹(x). Therefore:
![f(x)=6x-1](https://tex.z-dn.net/?f=f%28x%29%3D6x-1)
Switch:
![x=6f^{-1}(x)-1](https://tex.z-dn.net/?f=x%3D6f%5E%7B-1%7D%28x%29-1)
Add 1 to both sides:
![x+1=6f^{-1}(x)](https://tex.z-dn.net/?f=x%2B1%3D6f%5E%7B-1%7D%28x%29)
Divide both sides by 6:
![f^{-1}(x)=\frac{x+1}{6}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Cfrac%7Bx%2B1%7D%7B6%7D)
And that's our answer :)
Answer:
20ft
Explanation:
You multiply the model length by the scale factor to find the actual length. <u>If the scale factor is less than zero, then the actual size will be smaller than the model</u>. Therefore, your answer would be 20ft.
Specifically, the scale factor is .8 if the actual size is 20ft, 1 if the actual size is 25ft, and 1.2 if the actual size is 30ft.
Answer:
Step-by-step explanation:
A) 5x - 7 = 5x becomes -7 = 0 if 5x is subtracted from both sides. This result is never true, so NO SOLUTION
B)3x−9=3(x−3) Performing the indicated multiplication, we get
3x - 9 = 3x - 9. This is always true, so there are INFINITELY MANY SOLUTIONS
C)2x−6=−2(x−3) Performing the indicated multiplication, we get
2x - 6 = -2x + 6. Adding 2x - 6 to both sides results in
4x - 12 = 0, or 4x = 12. Thus, the solution is x = 3. ONE SOLUTION
D)2x+6−5x=−3(x This equation is incomplete
Answer:
The correct answer is the length is 10 feet and width is 2 feet respectively.
Step-by-step explanation:
Let length of the rectangular floor of Louis' basement be l feet and width be
feet respectively.
Area of the basement floor is given to be 500 square feet.
Therefore according to the given problem,
l ×
= 500
⇒
= 100
⇒ l = 10 ; [length cannot be negative]
⇒ b = 2
Thus the length and width be 10 feet and 2 feet respectively.
It would be false bc i just took it and it was right