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 )}

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))