What is the inverse of f(x)=((2+x))/((2-x)) ?

The inverse of f(x)=((2+x))/((2-x)) is -(2-2x)/(1+x)

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inverse of f(x)=((2+x))/((2-x))

inverse

f (x) = \frac{( 2 + x )}{( 2 - x )}

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

Solution steps

y = \frac{2 + x}{2 - x}

Replace

x

with

y

x = \frac{2 + y}{2 - y}

Solve for

y, x = \frac{2 + y}{2 - y}

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

f (x) = 1 0^{(- 1 \cdot \frac{( x + 5 )}{2})}

f (x) = ln (x - 1)

f (x) = \frac{2 x + 8}{x - 2}

[0 - 1 - 2]

y = \frac{6}{x}

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