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

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

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inverse of f(x)=((x+1))/((2x+1))

inverse

f (x) = \frac{( x + 1 )}{( 2 x + 1 )}

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

Solution steps

y = \frac{x + 1}{2 x + 1}

Replace

x

with

y

x = \frac{y + 1}{2 y + 1}

Solve for

y, x = \frac{y + 1}{2 y + 1}

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

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