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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

\frac{8}{x + 1}

y = - 2 - x^{2}

y = - x^{(2)}

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

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