Question

Find the inverse function of f(x), where f(x) = x/(1 + 2x).f -1(x) = x/(1 + 2x)f -1(x) = 2x/(1 - 2x)f -1(x) = x/(1 - 2x)f -1(x) = x/(1 - x)

Answer 1

Given:

The function

$f(x)=\frac{x}{1+2x}$

Required:

Find the inverse of function.

Explanation:

Function inverse definition

A function g is the inverse of function f if for y = f(x), x = g(y).

We have,

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

Replace x with y,

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

Solve for y,

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

Answer:

Option C is correct.