What is the inverse of f(x)=(2x+3)/(2x-pi) ?

The inverse of f(x)=(2x+3)/(2x-pi) is (3+pix)/(2(-1+x))

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inverse of f(x)=(2x+3)/(2x-pi)

inverse

f (x) = \frac{2 x + 3}{2 x - π}

\frac{3 + π x}{2 ( - 1 + x )}

Solution steps

y = \frac{2 x + 3}{2 x - π}

Replace

x

with

y

x = \frac{2 y + 3}{2 y - π}

Solve for

y, x = \frac{2 y + 3}{2 y - π}

\frac{3 + π x}{2 ( - 1 + x )}

f (x) = ln (- x + 2) - ln (4)

\frac{8 x}{x - 3}

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

\frac{8 x}{x - 6}

9 x - 4

What is the inverse of f(x)=(2x+3)/(2x-pi) ?
The inverse of f(x)=(2x+3)/(2x-pi) is (3+pix)/(2(-1+x))