Question

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

Answer 1

$(x - 1) \div 2$

Answer 2

Answer:

$f^{-1}(x)=\dfrac{x-1}{2}$

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

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

We assumed y=f(x)

switch x and y

Thus, $f^{-1}x=y$

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