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)=(x)/(1+2x)`

Required:

Find the inverse of function.

Step-by-step explanation:

Function inverse definition

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

We have,

`y=(x)/(1+2x)`

Replace x with y,

`x=(y)/(1+2y)`

Solve for y,

`y=(x)/(1-2x)`

Answer:

Option C is correct.