Math, asked by adarshkumar6456, 6 months ago

find the inverse of f(x)=(x-1)/(x+1)

Answers

Answered by senboni123456
1

Step-by-step explanation:

We have,

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

Let

y = f^{ - 1} (x)

Putting

f(x) = x \:  \: and \:  \: x = y

in the given function

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

 =  > xy + x = y - 1

 =  > x + 1 = y(1 - x)

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

Hence inverse of f(x) is (1 + x)/(1 - x)

Answered by sialahmed11
3

Answer:

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