 Hello and welcome to the session, it is because the following problem today. If f is a function from r to r is defined by fx is equal to x square minus 3x plus 2, find f of f of x. Now let us write the solution given to us f of x is equal to x square minus 3x plus 2. We have to find f of f of x. So f of f of x will be equal to f of x the whole square minus 3 into f of x plus 2. Now substituting the value of f of x in this equation we get which is equal to x square minus 3x plus 2 the whole square minus 3 into x square minus 3x plus 2 plus 2 which is equal to solving this we get f of x. x 4 plus 9x square plus 4 minus 6x cube minus 12x plus 4x square minus 3x square plus 9x minus 6 plus 2. Now we see that this gets cancelled with this two. So we are left with x 4 minus 6x cube plus 10x square minus 3x. Therefore the required f of f of x is equal to x 4 minus 6x cube plus 10x square minus 3x. I hope you understood this problem by a nice day.