Question

if f(x)=1-x/1+x then prove that
f(y) = x

Answer 1

Step-by-step explanation:

correct answer is x ....

Answer 2

Given:

Consider the given equation is

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

Find:

Need to show f (x) = y

Solution:

Since we have given

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

$y=\frac{1-x}{1+x}\\\\y(1+x) = 1-x\\\\y + xy = 1- x\\xy + x = 1-y\\\\x (1+y) = 1-y$

therefore

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

so we can say that f(y) = x