What is the inverse of f(x)=(2x-1)/(2x+5) ?

The inverse of f(x)=(2x-1)/(2x+5) is (-1-5x)/(2(-1+x))

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inverse of f(x)=(2x-1)/(2x+5)

inverse

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

\frac{- 1 - 5 x}{2 ( - 1 + x )}

Solution steps

y = \frac{2 x - 1}{2 x + 5}

Replace

x

with

y

x = \frac{2 y - 1}{2 y + 5}

Solve for

y, x = \frac{2 y - 1}{2 y + 5}

\frac{- 1 - 5 x}{2 ( - 1 + x )}

\frac{- 2}{x + 2}

f (x) = \frac{3}{4}

f (x) = \frac{( x )}{( x ^{(2)} - 1 )}

\frac{3 x}{8 + x}

tan (\frac{x}{2})

What is the inverse of f(x)=(2x-1)/(2x+5) ?
The inverse of f(x)=(2x-1)/(2x+5) is (-1-5x)/(2(-1+x))