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) = \frac{( 7 - 4 x )}{7 + 5 x}

f (x) = x - 6

\frac{x + 3}{x + 2}

f (x) = \frac{1}{x ^{2} + 3 x - 28}

y = x - 3, (- 2, 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))