For this case we must find the inverse of the following function:
We follow the steps below:
Replace f(x) with y:
We exchange the variables:
We solve for "y":
Multiply by -2 on both sides of the equation:
We raise both sides of the equation to the square to eliminate the radical:
We subtract 3 from both sides of the equation:
We change y by f ^ {- 1} (x):
Answer:
In euros Derek has twenty two dollars and eighty cents
What we know:
3.14 pi
radius: 7in.
Result units: in^3, this is the results of in used for radius; no conversion needed
Formula volume of a sphere: (4/3)* pi * r^3
(4/3)(3.14)(7)(7)(7)
(4/3)(3.14)(343)
(4/3)(1077.02)
(1.3)(1077.02) \\repeated 3 infinite
1436.026666\\repeated 6inf
The volume of the sphere is about 1436.0266 in^3
