What is the inverse of f(x)=((4x-1))/(2x+7) ?

The inverse of f(x)=((4x-1))/(2x+7) is (-1-7x)/(2(-2+x))

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inverse of f(x)=((4x-1))/(2x+7)

inverse

f (x) = \frac{( 4 x - 1 )}{2 x + 7}

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

Solution steps

y = \frac{4 x - 1}{2 x + 7}

Replace

x

with

y

x = \frac{4 y - 1}{2 y + 7}

Solve for

y, x = \frac{4 y - 1}{2 y + 7}

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

f (x) = x^{2} + y = 2

f (x) = 2 x - 3

- x

f (x) = \frac{x}{x ^{2} - 4 x + 3}

x = - 2, (- 4, 1)

What is the inverse of f(x)=((4x-1))/(2x+7) ?
The inverse of f(x)=((4x-1))/(2x+7) is (-1-7x)/(2(-2+x))