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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

\frac{3 x}{x - 8}

y = 3 x + 3

f (x) = 1 + 2 + 7 x

f (x) = \frac{9}{5 + x}

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