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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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