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

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

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

inverse

f (x) = \frac{4 x + 5}{1 - 8 x}

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

Solution steps

y = \frac{4 x + 5}{1 - 8 x}

Replace

x

with

y

x = \frac{4 y + 5}{1 - 8 y}

Solve for

y, x = \frac{4 y + 5}{1 - 8 y}

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

2 x - 1

f (x) = 9 - 2 x

f (x) = - 4 e^{2 x}

f (x) = 4 x + 1

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