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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

600 - 2 t^{2}

- 0.5

- 0.3

f (x) = e^{3}

f (x) = \frac{7 x - 1}{2}

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