What is the inverse of f(x)=(7-3x)/(2x-3) ?

The inverse of f(x)=(7-3x)/(2x-3) is (7+3x)/(2x+3)

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inverse of f(x)=(7-3x)/(2x-3)

inverse

f (x) = \frac{7 - 3 x}{2 x - 3}

\frac{7 + 3 x}{2 x + 3}

Solution steps

y = \frac{7 - 3 x}{2 x - 3}

Replace

x

with

y

x = \frac{7 - 3 y}{2 y - 3}

Solve for

y, x = \frac{7 - 3 y}{2 y - 3}

\frac{7 + 3 x}{2 x + 3}

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

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

f (x) = \frac{x ^{2}}{1 + x ^{2}}

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

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

What is the inverse of f(x)=(7-3x)/(2x-3) ?
The inverse of f(x)=(7-3x)/(2x-3) is (7+3x)/(2x+3)