Respuesta :

[tex](x - 1) \div 2[/tex]

isyllus

Answer:

[tex]f^{-1}(x)=\dfrac{x-1}{2}[/tex]

Step-by-step explanation:

Given: f(x)=2x+1

To find: The inverse of f(x)

Step 1: Set f(x)=y

y = 2x + 1

Step 2: Switch x and y

x = 2y + 1

Step 3: Solve for y

2y=x-1

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

We assumed y=f(x)

switch x and y

Thus, [tex]f^{-1}x=y[/tex]

Hence, The inverse of f(x)=2x+1 is [tex]f^{-1}(x)=\dfrac{x-1}{2}[/tex]