Question

If f(x)=(x-1)/(x+1) then ratio of x to f(y) where y=f(x)

Answer 1

Haye mate here is your answer

1:1 is the correct answer, if you expand y = f(x) it results in y=x.

hope it help
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Answer 2

Answer:

The ratio of x to f(y) is

$- {x}^{2}$

Step-by-step explanation:

The given function is

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

Also given

$y = f(x)$

We are required to find the ratio of x to f(y) For that,we first find f(y) as follows

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

Substituting the value of f(x) given,we get the above expression as

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

Hence,the ratio of x to f(y) is

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

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