Question

Determine if the two functions f and g are inverses of each other algebraically. If not, why?

Answer 1

Answer:

N0 (f o g) x = 3x.

Step-by-step explanation:

If they are inverses of each other the f o g will equal x.

f o g  =  2(3x +3/ (4x - 2)  + 3  /    4(3x + 3)/(4x - 2) - 3)

=  2(3x + 3)+ 3(4x - 2)                4x - 2

   ---------------------------  *    ----------------------------

            4x - 2                     4(3x + 3) - 3(4x - 2)

      6x + 12x

=   ----------------

        12 - 6

= 3x.

So they are not inverses.