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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

m = \frac{1}{3}, (3, 9)

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

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

f (x) = - 2 x + 8

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

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