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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

f (x) = 2 (x - 3)^{2} + 5

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

f (x) = - 3 x + 1

f (x) = 2 x^{2} + 7 x - 3

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