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

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

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

inverse

f (x) = \frac{4 x + 2}{8 x - 5}

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

Solution steps

y = \frac{4 x + 2}{8 x - 5}

Replace

x

with

y

x = \frac{4 y + 2}{8 y - 5}

Solve for

y, x = \frac{4 y + 2}{8 y - 5}

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

f (x) = 12 + 4 x - 4

f (x) = 3 x^{4} + 5

3 + 2 ln (x)

tan (0.5)

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