Question

What is the inverse of the function F (X) equals 2X +1

Answer 1

Answer: $f^{-1}(x)=\frac{x-1}{2}$

Step-by-step explanation:

To find the inverse of a function start by replacing f(x) with x and replace the original x with y.

$f(x)=2x+1\\x=2y+1$

Now solve for y

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

Finally, replace y with the inverse of f(x), $f^{-1}(x)$