The pressure of a fixed mass of gas at 30 °C is 3 x 109 Pa (abs. pressure). What would be its pressure if the volume of the gas is doubled and its
temperature is increased to 60 °C?

you have to draw the persons position over there

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 .