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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

(x + 2)^{3} - 5

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

f (x) = x - (\frac{x ^{2}}{12})

f (x) = \frac{x + 1}{1 - x}

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

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