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

Answer:
Option 1.
Step-by-step explanation:
[tex]y=2x+1[/tex]
[tex]x=2y+1[/tex]
[tex]x-1=2y[/tex]
[tex]\frac{x-1}{2} = \frac{2y}{2}[/tex]
[tex]\frac{x-1}{2} = y[/tex]
[tex]\frac{1}{2}x -\frac{1}{2} = y[/tex]
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