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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

- tan^{2} (x)

2 x + 2

f (x) = 5 x - 1

f (x) = \frac{3 x + 4}{6 - 5 x}

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

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