What is the inverse of y=(1-sqrt(x))/(1+sqrt(x)) ?

The inverse of y=(1-sqrt(x))/(1+sqrt(x)) is (1-2x+x^2)/(x^2+2x+1)

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inverse of y=(1-sqrt(x))/(1+sqrt(x))

inverse

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

\frac{1 - 2 x + x ^{2}}{x ^{2} + 2 x + 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{1 - 2 x + x ^{2}}{x ^{2} + 2 x + 1}

in t erce pt s f (x) = 2^{x - 1}

d o main f (x) = 3 - t + 2 + t

d o main f (x) = - \frac{16}{( x + 5 ) ^{2}}

in v erse f (x) = \frac{x + 9}{x - 8}

r an g e 3 x - 2

What is the inverse of y=(1-sqrt(x))/(1+sqrt(x)) ?
The inverse of y=(1-sqrt(x))/(1+sqrt(x)) is (1-2x+x^2)/(x^2+2x+1)