Respuesta :

Answer:

[tex]y =\frac{1}{2}x - \frac{1}{2}[/tex]

Step-by-step explanation:

f(x)= 2x + 1

To find inverse , first replace f(x) by y

y = 2x + 1

Replace x with y and y with x

x = 2y + 1

Now we solve for y

x = 2y + 1

subtract 1 on both sides

x - 1 = 2y

now divide both sides by 2

[tex]\frac{x-1}{2} = y[/tex]

divide each term by 2

[tex]y =\frac{1}{2}x - \frac{1}{2}[/tex]

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