What is the inverse of f(x)= -4/(2x-1)?

Question

What is the inverse of f(x)= -4/(2x-1)?

Answer 1

hi,

inverse is:

f(inverse) = (2x-1)/(-4) = (1-2x)/4

Hope this helped. Keep smiling. Bye.

Answer 2

f inverse (x) =  {1 -  (4 /x ) } / 2

How ?

Let   -4/(2x-1)  =  A

Then from your equation :

      f(x) = A    =>    f inverse (A) = x

      or                     f inverse  (A) = {1 -  (4 /A ) } / 2   ........[1]

                          

Now since the domain and range of 'f(x)' and  'f inverse(x)'  belongs to set  'R'

                        we can write Equation  [1]  as

                         f inverse (x) =  {1 -  (4 /x ) } / 2      ANSWER

NOTE :  x  , A  are a variables representing any rational number, threfore I can replace (change my method of representation)  them for each other any time

Answer 3

put y where the x is and solve for f(y)

Answer 4

switch x and y and solve for y

x=-4/(2y-1)

x(2y-1)=-4

2y-1=-4/x

2y=-4/x+1

y=-2/x+1/2

make it a good day