Finding the inverse function:
We are given a function y = f(x). To find the inverse function, we exchange x with y in the original function, and then isolate y.
So
We are given the function:
So
Changing x with y
Now, we have to isolate y. So
We can apply the fifth root to both sides. So:
![\sqrt[5]{(y+7)^5}=\sqrt[5]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%28y%2B7%29%5E5%7D%3D%5Csqrt%5B5%5D%7Bx%7D)
![y+7=\sqrt[5]{x}](https://tex.z-dn.net/?f=y%2B7%3D%5Csqrt%5B5%5D%7Bx%7D)
![f^{-1}(x)=y=\sqrt[5]{x}-7](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3Dy%3D%5Csqrt%5B5%5D%7Bx%7D-7)
The first answer is 48. The next answer is also 48.
Answer:
x-2
Step-by-step explanation:
x3−3x2+3x−2/x2−x+1
=
x3−3x2+3x−2/x2−x+1
=
(x−2)(x2−x+1)/x2−x+1
=x−2
Perimeter of rectangle = 2( length +width)
given: Perimeter=60 ft and width=20 ft
plugging these values in the formula,
60=2(20+ length)
dividing both sides by 2
30=20+length
length =30-20=10
length is 10 feet
width is 20 feet
Area of rectangle is given by:
Area = l*w
Area = 10 *20 = 200 square feet
Answer : Area of rectangle is 200 square feet.
The cost of 1 vanilla ice cream and 1 strawberry ice cream should total to $31. Since you only bought one of each flavor, you simply have to add their unit prices.
Cost for 1 carton of strawberry ice cream + Cost for 1 carton of vanilla ice cream = Total Cost
Total Cost = s + v --> this is the general equation
Since s = 1.5 + v, the modified equation would be
Total Cost = 1.5 + v + v
Total Cost = 1.5 + 2v
