 Hello and welcome to the session. Let us solve the following question today. Find g o f and f o j if f x is equal to 8 x q and g x is equal to x raise to the power 1 upon 3. Let us start the solution now. We are given f x is equal to 8 x q and g x is equal to x raise to the power 1 upon 3. Now first of all let us find out g o f x is equal to g f x. f x is equal to 8 x q. So we will substitute for f x 8 x q. So we get g 8 x q. Now this is equal to 8 x q raise to the power 1 upon 3. Now we know g x is equal to x raise to the power 1 upon 3. So g 8 x q must be equal to 8 x q raise to the power 1 upon 3. We had substituted 8 x q in place of x here. So we have got 8 x q raise to the power 1 upon 3. On simplifying we get g o f x is equal to 2 x. Let us now find out f o g x. f o g x is equal to f g x. You know g x is equal to x raise to the power 1 upon 3. So we will substitute for g x. x raise to the power 1 upon 3. Now we know f x is equal to 8 x q. So we will substitute for x in 8 x q. x raise to the power 1 upon 3 and get 8 multiplied by x raise to the power 1 upon 3 raise to the power 3. On simplifying we get 8 x f o g x is equal to 8 x. Our final answer is g o f x is equal to 2 x and f o g x is equal to 8 x. This completes the session. Hope you understood the session. Take care and goodbye.