 Hello and welcome to the session. Let us discuss the following question. Question is, find g o f and f o g if fx is equal to mod fx and gx is equal to mod of 5x minus 2. Let us now start the solution. We are given fx is equal to modulus of x and gx is equal to modulus of 5x minus 2. Let us find out g o fx. You know g o fx is equal to gfx. Now fx is equal to modulus of x. So, we will substitute for fx modulus of x. So, we get g modulus of x. Now you know gx is equal to modulus of 5x minus 2. So, g modulus x is equal to modulus of 5 modulus x minus 2. So, g o fx is equal to modulus of 5 modulus x minus 2. Now let us find out f o gx. We know f o gx is equal to f gx. gx is equal to modulus of 5x minus 2. So, we get f modulus of 5x minus 2. Now we know fx is equal to modulus of x. So, we get f modulus of 5x minus 2 as mod of mod 5x minus 2 which is equal to modulus of 5x minus 2 only. So, our required answer is g o fx is equal to mod of 5 mod x minus 2 and f o gx is equal to mod of 5x minus 2. This completes the session. Hope you understood the session. Take care and goodbye.