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

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

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

inverse

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

\frac{- 5 - 3 x}{2 x - 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 5 - 3 x}{2 x - 1}

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

f (x) = 2 cos (x)

(5, 7), (7, 14)

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

f (x) = \frac{x ^{3} + 64}{x ^{2} + 9 x}

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