The result of f(g(x)) is not always x, so the functions are not inverses of each other.
In general, a quadratic (or any even-degree polynomial) such as g(x) cannot have an inverse function because it does not pass the horizontal line test.
Number of times she climbed 5-mile mountain trail = x Number of times she climbed 10-mile trail = y total distance of the 5-mile mountain trail will be = 5*x =5x total distance of the 10-mile mountain trail will be = 10*y = 10y equation that can be used to find the number of times she hiked each trail is therefore 5x + 10y = 90
The formula for the volume of a cylinder is V=3.14r^2(h). So substituting the volume: 20,403.72=3.14r^2(h).
To solve for ‘r’, divide both sides by 3.14h r^2=6,498/h Then find square root of both sides r= sqrt(6,498/h) Since ‘h’ is not specified here, it cannot be solved further.