What is the inverse of f(x)=((2x-1))/(2x+7) ?

The inverse of f(x)=((2x-1))/(2x+7) is (-1-7x)/(2(-1+x))

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inverse of f(x)=((2x-1))/(2x+7)

inverse

f (x) = \frac{( 2 x - 1 )}{2 x + 7}

\frac{- 1 - 7 x}{2 ( - 1 + x )}

Solution steps

y = \frac{2 x - 1}{2 x + 7}

Replace

x

with

y

x = \frac{2 y - 1}{2 y + 7}

Solve for

y, x = \frac{2 y - 1}{2 y + 7}

\frac{- 1 - 7 x}{2 ( - 1 + x )}

\frac{x ^{2} + 4 x - 12}{x ^{2} - x - 2}

f (x) = - x - 3 + 2

(3.4) (7.5)

What is the inverse of f(x)=((2x-1))/(2x+7) ?
The inverse of f(x)=((2x-1))/(2x+7) is (-1-7x)/(2(-1+x))