Question

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

Answer 1

Answer:

y=0.5(x−1)

Step-by-step explanation:

Explanation: To find the inverse of a function, you have to substitute y for x in the equation and simplify to get a normal equation again. In this case, f(x) is y.

y=2x+1

x=2y+1

2y+1=x

2y=x−1

y=0.5(x−1)

Answer 2

Answer

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

Step-by-step explanation:

To find the inverse of a function  $f(x)=2x+1$ , we substitute x and y for each other and then solve for y to get a new function.

We rewrite the original function as:

$x=2y+1$

And then we solve for y:

$x-1=2y$

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

This is our answer.