Question

What is the inverse of the function f(x)=2x+1?​

Answer 1

Answer:

  see the attachment

Step-by-step explanation:

You can find the inverse by swapping the variables and solving for y.

  y = f(x) . . . . . original function

  x = f(y) . . . . . variables swapped

  x = 2y +1

  x -1 = 2y . . . subtract 1

  (x-1)/2 = y . . . divide by 2

  y = (1/2)x -1/2 . . . expand

If the inverse function is named h(x), then it is ...

  h(x) = x/2 -1/2

Answer 2

Answer:

Option 1.

Step-by-step explanation:

$y=2x+1$

$x=2y+1$

$x-1=2y$

$\frac{x-1}{2} = \frac{2y}{2}$

$\frac{x-1}{2} = y$

$\frac{1}{2}x -\frac{1}{2} = y$