Question 1105778
set f(x) = y.


your normal function becomes y = x^2.


to derive the inverse function, set x equal to y and y equal to x.


example:


start with f(x) = x^2


let y = f(x).


your normal function becomes y = x^2.


replace y with x and x with y to get x = y^2.


solve for y to get y = plus or minus sqrt(x).


that's your inverse function.


let y = f^-1(x).


your inverse function becomes f^-1(x) = plus or minus sqrt(x).


f(x) = x^2 is your normal function.
f^-1(x) = plus or minus sqrt(x) is your inverse function.


when you graph the function, you set y = f(x).
this allows it to be graphed based on the usual rules of graphing software.


the graph of y = x^2 is shown below:


<img src = "http://theo.x10hosting.com/2018/010602.jpg" alt="$$$">


the graph of y = plus or minus sqrt(x) is shown below:


<img src = "http://theo.x10hosting.com/2018/010603.jpg" alt="$$$">


note that the graph of y = plus or minus sqrt(x) is really two equations.


the first equation is y = sqrt(x).
the second equation is y = -sqrt(x).