The water flowing through a 2.1 cm (inside diameter) pipe flows out through three 1.3 cm pipes. (a) if the flow rates in the three smaller pipes are 24, 15, and 11 l/min, what is the flow rate in the 2.1 cm pipe? (b) what is the ratio of the speed of water in the 2.1 cm pipe to that in the pipe carrying 24 l/min?

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .