 Hi and welcome to the session. Let us discuss the following question. Let function f from r minus minus 4 upon 3 to r. Where r is the set of all real numbers. We have function defined as fx is equal to 4x upon 3x plus 4. The inverse of f is the map G from range f to r minus minus 4 upon 3 given by a G y is equal to 3 y upon 3 minus 4 y. G y is equal to 4 y upon 4 minus 3 y. G y is equal to 4 y upon 3 minus 4 y. G y is equal to 3 y upon 4 minus 3 y. We have to choose the correct answer from a, b, c and d. Let us start the solution now. We have given function f from minus 4 upon 3 to now it is defined by equal to 4x upon 3x plus 4. Now let us consider any arbitrary element y in the range of function f. y must be equal to fx for some x belonging to the domain that is r minus minus 4 upon 3. We know fx is equal to 4x upon 3x plus 4. So we can write y is equal to 4x upon 3x plus 4. This implies y multiplied by 3x plus 4 is equal to 4x. This implies 3xy plus 4y is equal to 4x. This implies 4y is equal to 4x minus 3xy. This implies 4y is equal to x multiplied by 4 minus 3y. This implies x is equal to 4 y upon 4 minus 3y. Now this gives the function g from range f minus minus 4 upon 3. And it is defined by 4y upon 4 minus 3y. So required inverse of function f is given by g y equal to 4y upon 4 minus 3y. So our required answer is b. b is the correct answer. So we can write b is the correct answer. This completes the session. Hope you understood the session. Goodbye.