What is the inverse of f(x)=(4x-1)/(2x+5) ?

The inverse of f(x)=(4x-1)/(2x+5) is (-1-5x)/(2(-2+x))

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inverse of f(x)=(4x-1)/(2x+5)

inverse

f (x) = \frac{4 x - 1}{2 x + 5}

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

Solution steps

y = \frac{4 x - 1}{2 x + 5}

Replace

x

with

y

x = \frac{4 y - 1}{2 y + 5}

Solve for

y, x = \frac{4 y - 1}{2 y + 5}

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

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

m = 3, (- 3, 0)

ln (x + 4)

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

f (x) = - x + 7

What is the inverse of f(x)=(4x-1)/(2x+5) ?
The inverse of f(x)=(4x-1)/(2x+5) is (-1-5x)/(2(-2+x))