What is the inverse of f(x)=(2x-5)/(4x-1)+3 ?

The inverse of f(x)=(2x-5)/(4x-1)+3 is (x-8)/(2(-7+2x))

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inverse of f(x)=(2x-5)/(4x-1)+3

inverse

f (x) = \frac{2 x - 5}{4 x - 1} + 3

\frac{x - 8}{2 ( - 7 + 2 x )}

Solution steps

y = \frac{2 x - 5}{4 x - 1} + 3

Replace

x

with

y

x = \frac{2 y - 5}{4 y - 1} + 3

Solve for

y, x = \frac{2 y - 5}{4 y - 1} + 3

\frac{x - 8}{2 ( - 7 + 2 x )}

What is the inverse of f(x)=(2x-5)/(4x-1)+3 ?
The inverse of f(x)=(2x-5)/(4x-1)+3 is (x-8)/(2(-7+2x))