What is the inverse of f(x)=(8x-1)/(2x+5) ?

The inverse of f(x)=(8x-1)/(2x+5) is (-1-5x)/(2(-4+x))

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inverse of f(x)=(8x-1)/(2x+5)

inverse

f (x) = \frac{8 x - 1}{2 x + 5}

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

Solution steps

y = \frac{8 x - 1}{2 x + 5}

Replace

x

with

y

x = \frac{8 y - 1}{2 y + 5}

Solve for

y, x = \frac{8 y - 1}{2 y + 5}

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

f (x) = \frac{( x + 9 )}{( x + 1 )}

5 x^{2} ln (\frac{x}{4})

8 y - 2 x = - 72

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

(0.5) (2.1)

What is the inverse of f(x)=(8x-1)/(2x+5) ?
The inverse of f(x)=(8x-1)/(2x+5) is (-1-5x)/(2(-4+x))